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Finding the Third Proportional to 63,165 and 135,081

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Solution

The third proportional to 63,165 and 135,081 is: 288,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,165 : 135,081 = 135,081 : x
  2. Step 2: Convert to fraction form
    63,165/135,081 = 135,081/x
  3. Step 3: Cross multiply
    63,165x = 135,081 × 135,081
  4. Step 4: Simplify right side
    63,165x = 18,246,876,561
  5. Step 5: Solve for x
    x = 18,246,876,561/63,165
  6. Step 6: Final answer
    x = 288,876.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.