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Finding the Third Proportional to 63,100 and 135,920

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Solution

The third proportional to 63,100 and 135,920 is: 292,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,100 : 135,920 = 135,920 : x
  2. Step 2: Convert to fraction form
    63,100/135,920 = 135,920/x
  3. Step 3: Cross multiply
    63,100x = 135,920 × 135,920
  4. Step 4: Simplify right side
    63,100x = 18,474,246,400
  5. Step 5: Solve for x
    x = 18,474,246,400/63,100
  6. Step 6: Final answer
    x = 292,777.28

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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.