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Finding the Third Proportional to 63,197 and 135,912

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Solution

The third proportional to 63,197 and 135,912 is: 292,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,197 : 135,912 = 135,912 : x
  2. Step 2: Convert to fraction form
    63,197/135,912 = 135,912/x
  3. Step 3: Cross multiply
    63,197x = 135,912 × 135,912
  4. Step 4: Simplify right side
    63,197x = 18,472,071,744
  5. Step 5: Solve for x
    x = 18,472,071,744/63,197
  6. Step 6: Final answer
    x = 292,293.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.