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Finding the Third Proportional to 317,416 and 491,892

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Solution

The third proportional to 317,416 and 491,892 is: 762,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,416 : 491,892 = 491,892 : x
  2. Step 2: Convert to fraction form
    317,416/491,892 = 491,892/x
  3. Step 3: Cross multiply
    317,416x = 491,892 × 491,892
  4. Step 4: Simplify right side
    317,416x = 241,957,739,664
  5. Step 5: Solve for x
    x = 241,957,739,664/317,416
  6. Step 6: Final answer
    x = 762,273.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.