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Finding the Third Proportional to 267,553 and 392,458

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Solution

The third proportional to 267,553 and 392,458 is: 575,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,553 : 392,458 = 392,458 : x
  2. Step 2: Convert to fraction form
    267,553/392,458 = 392,458/x
  3. Step 3: Cross multiply
    267,553x = 392,458 × 392,458
  4. Step 4: Simplify right side
    267,553x = 154,023,281,764
  5. Step 5: Solve for x
    x = 154,023,281,764/267,553
  6. Step 6: Final answer
    x = 575,673.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.