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Finding the Third Proportional to 238,412 and 515,542

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Solution

The third proportional to 238,412 and 515,542 is: 1,114,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,412 : 515,542 = 515,542 : x
  2. Step 2: Convert to fraction form
    238,412/515,542 = 515,542/x
  3. Step 3: Cross multiply
    238,412x = 515,542 × 515,542
  4. Step 4: Simplify right side
    238,412x = 265,783,553,764
  5. Step 5: Solve for x
    x = 265,783,553,764/238,412
  6. Step 6: Final answer
    x = 1,114,807.79

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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.