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Finding the Third Proportional to 316,082.25 and 677,385.28

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Solution

The third proportional to 316,082.25 and 677,385.28 is: 1,451,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,082.25 : 677,385.28 = 677,385.28 : x
  2. Step 2: Convert to fraction form
    316,082.25/677,385.28 = 677,385.28/x
  3. Step 3: Cross multiply
    316,082.25x = 677,385.28 × 677,385.28
  4. Step 4: Simplify right side
    316,082.25x = 458,850,819,254.14
  5. Step 5: Solve for x
    x = 458,850,819,254.14/316,082.25
  6. Step 6: Final answer
    x = 1,451,681.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.