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Finding the Third Proportional to 331,508 and 715,839

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Solution

The third proportional to 331,508 and 715,839 is: 1,545,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,508 : 715,839 = 715,839 : x
  2. Step 2: Convert to fraction form
    331,508/715,839 = 715,839/x
  3. Step 3: Cross multiply
    331,508x = 715,839 × 715,839
  4. Step 4: Simplify right side
    331,508x = 512,425,473,921
  5. Step 5: Solve for x
    x = 512,425,473,921/331,508
  6. Step 6: Final answer
    x = 1,545,740.90

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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.