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Finding the Third Proportional to 165,557 and 256,294

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Solution

The third proportional to 165,557 and 256,294 is: 396,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,557 : 256,294 = 256,294 : x
  2. Step 2: Convert to fraction form
    165,557/256,294 = 256,294/x
  3. Step 3: Cross multiply
    165,557x = 256,294 × 256,294
  4. Step 4: Simplify right side
    165,557x = 65,686,614,436
  5. Step 5: Solve for x
    x = 65,686,614,436/165,557
  6. Step 6: Final answer
    x = 396,761.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.