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Finding the Third Proportional to 331,540 and 715,496

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Solution

The third proportional to 331,540 and 715,496 is: 1,544,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,540 : 715,496 = 715,496 : x
  2. Step 2: Convert to fraction form
    331,540/715,496 = 715,496/x
  3. Step 3: Cross multiply
    331,540x = 715,496 × 715,496
  4. Step 4: Simplify right side
    331,540x = 511,934,526,016
  5. Step 5: Solve for x
    x = 511,934,526,016/331,540
  6. Step 6: Final answer
    x = 1,544,110.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.