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Finding the Third Proportional to 331,324 and 715,542

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Solution

The third proportional to 331,324 and 715,542 is: 1,545,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,324 : 715,542 = 715,542 : x
  2. Step 2: Convert to fraction form
    331,324/715,542 = 715,542/x
  3. Step 3: Cross multiply
    331,324x = 715,542 × 715,542
  4. Step 4: Simplify right side
    331,324x = 512,000,353,764
  5. Step 5: Solve for x
    x = 512,000,353,764/331,324
  6. Step 6: Final answer
    x = 1,545,316.23

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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.