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Finding the Third Proportional to 169,279 and 257,241

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Solution

The third proportional to 169,279 and 257,241 is: 390,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,279 : 257,241 = 257,241 : x
  2. Step 2: Convert to fraction form
    169,279/257,241 = 257,241/x
  3. Step 3: Cross multiply
    169,279x = 257,241 × 257,241
  4. Step 4: Simplify right side
    169,279x = 66,172,932,081
  5. Step 5: Solve for x
    x = 66,172,932,081/169,279
  6. Step 6: Final answer
    x = 390,910.46

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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.