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Finding the Third Proportional to 240,115 and 517,472

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Solution

The third proportional to 240,115 and 517,472 is: 1,115,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,115 : 517,472 = 517,472 : x
  2. Step 2: Convert to fraction form
    240,115/517,472 = 517,472/x
  3. Step 3: Cross multiply
    240,115x = 517,472 × 517,472
  4. Step 4: Simplify right side
    240,115x = 267,777,270,784
  5. Step 5: Solve for x
    x = 267,777,270,784/240,115
  6. Step 6: Final answer
    x = 1,115,204.26

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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.