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Finding the Third Proportional to 165,540.38 and 256,273.88

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Solution

The third proportional to 165,540.38 and 256,273.88 is: 396,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,540.38 : 256,273.88 = 256,273.88 : x
  2. Step 2: Convert to fraction form
    165,540.38/256,273.88 = 256,273.88/x
  3. Step 3: Cross multiply
    165,540.38x = 256,273.88 × 256,273.88
  4. Step 4: Simplify right side
    165,540.38x = 65,676,299,007.52
  5. Step 5: Solve for x
    x = 65,676,299,007.52/165,540.38
  6. Step 6: Final answer
    x = 396,738.86

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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.