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Finding the Third Proportional to 278,138,004.19 and 579,165,607.69

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Solution

The third proportional to 278,138,004.19 and 579,165,607.69 is: 1,205,994,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138,004.19 : 579,165,607.69 = 579,165,607.69 : x
  2. Step 2: Convert to fraction form
    278,138,004.19/579,165,607.69 = 579,165,607.69/x
  3. Step 3: Cross multiply
    278,138,004.19x = 579,165,607.69 × 579,165,607.69
  4. Step 4: Simplify right side
    278,138,004.19x = 335,432,801,128,031,168
  5. Step 5: Solve for x
    x = 335,432,801,128,031,168/278,138,004.19
  6. Step 6: Final answer
    x = 1,205,994,132.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.