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Finding the Third Proportional to 316,394 and 687,508

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Solution

The third proportional to 316,394 and 687,508 is: 1,493,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,394 : 687,508 = 687,508 : x
  2. Step 2: Convert to fraction form
    316,394/687,508 = 687,508/x
  3. Step 3: Cross multiply
    316,394x = 687,508 × 687,508
  4. Step 4: Simplify right side
    316,394x = 472,667,250,064
  5. Step 5: Solve for x
    x = 472,667,250,064/316,394
  6. Step 6: Final answer
    x = 1,493,919.76

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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.