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Finding the Third Proportional to 272,864 and 413,536

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Solution

The third proportional to 272,864 and 413,536 is: 626,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,864 : 413,536 = 413,536 : x
  2. Step 2: Convert to fraction form
    272,864/413,536 = 413,536/x
  3. Step 3: Cross multiply
    272,864x = 413,536 × 413,536
  4. Step 4: Simplify right side
    272,864x = 171,012,023,296
  5. Step 5: Solve for x
    x = 171,012,023,296/272,864
  6. Step 6: Final answer
    x = 626,729.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.