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Finding the Third Proportional to 63,540 and 135,296

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Solution

The third proportional to 63,540 and 135,296 is: 288,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,540 : 135,296 = 135,296 : x
  2. Step 2: Convert to fraction form
    63,540/135,296 = 135,296/x
  3. Step 3: Cross multiply
    63,540x = 135,296 × 135,296
  4. Step 4: Simplify right side
    63,540x = 18,305,007,616
  5. Step 5: Solve for x
    x = 18,305,007,616/63,540
  6. Step 6: Final answer
    x = 288,086.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.