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Finding the Third Proportional to 63,616 and 135,980

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Solution

The third proportional to 63,616 and 135,980 is: 290,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,616 : 135,980 = 135,980 : x
  2. Step 2: Convert to fraction form
    63,616/135,980 = 135,980/x
  3. Step 3: Cross multiply
    63,616x = 135,980 × 135,980
  4. Step 4: Simplify right side
    63,616x = 18,490,560,400
  5. Step 5: Solve for x
    x = 18,490,560,400/63,616
  6. Step 6: Final answer
    x = 290,658.96

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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.