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Finding the Third Proportional to 169,540 and 256,496

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Solution

The third proportional to 169,540 and 256,496 is: 388,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,540 : 256,496 = 256,496 : x
  2. Step 2: Convert to fraction form
    169,540/256,496 = 256,496/x
  3. Step 3: Cross multiply
    169,540x = 256,496 × 256,496
  4. Step 4: Simplify right side
    169,540x = 65,790,198,016
  5. Step 5: Solve for x
    x = 65,790,198,016/169,540
  6. Step 6: Final answer
    x = 388,051.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.