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Finding the Third Proportional to 418,540 and 915,324

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Solution

The third proportional to 418,540 and 915,324 is: 2,001,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,540 : 915,324 = 915,324 : x
  2. Step 2: Convert to fraction form
    418,540/915,324 = 915,324/x
  3. Step 3: Cross multiply
    418,540x = 915,324 × 915,324
  4. Step 4: Simplify right side
    418,540x = 837,818,024,976
  5. Step 5: Solve for x
    x = 837,818,024,976/418,540
  6. Step 6: Final answer
    x = 2,001,763.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.