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Finding the Third Proportional to 165,542 and 256,277

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Solution

The third proportional to 165,542 and 256,277 is: 396,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,542 : 256,277 = 256,277 : x
  2. Step 2: Convert to fraction form
    165,542/256,277 = 256,277/x
  3. Step 3: Cross multiply
    165,542x = 256,277 × 256,277
  4. Step 4: Simplify right side
    165,542x = 65,677,900,729
  5. Step 5: Solve for x
    x = 65,677,900,729/165,542
  6. Step 6: Final answer
    x = 396,744.64

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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.