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Finding the Third Proportional to 316,408 and 687,534

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Solution

The third proportional to 316,408 and 687,534 is: 1,493,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,408 : 687,534 = 687,534 : x
  2. Step 2: Convert to fraction form
    316,408/687,534 = 687,534/x
  3. Step 3: Cross multiply
    316,408x = 687,534 × 687,534
  4. Step 4: Simplify right side
    316,408x = 472,703,001,156
  5. Step 5: Solve for x
    x = 472,703,001,156/316,408
  6. Step 6: Final answer
    x = 1,493,966.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.