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Finding the Third Proportional to 378,993,197,354.90 and 842,723,864,983.12

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Solution

The third proportional to 378,993,197,354.90 and 842,723,864,983.12 is: 1,873,868,759,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,993,197,354.90 : 842,723,864,983.12 = 842,723,864,983.12 : x
  2. Step 2: Convert to fraction form
    378,993,197,354.90/842,723,864,983.12 = 842,723,864,983.12/x
  3. Step 3: Cross multiply
    378,993,197,354.90x = 842,723,864,983.12 × 842,723,864,983.12
  4. Step 4: Simplify right side
    378,993,197,354.90x = 710,183,512,612,087,915,347,968
  5. Step 5: Solve for x
    x = 710,183,512,612,087,915,347,968/378,993,197,354.90
  6. Step 6: Final answer
    x = 1,873,868,759,567.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.