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Finding the Third Proportional to 68,438 and 108,980

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Solution

The third proportional to 68,438 and 108,980 is: 173,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,438 : 108,980 = 108,980 : x
  2. Step 2: Convert to fraction form
    68,438/108,980 = 108,980/x
  3. Step 3: Cross multiply
    68,438x = 108,980 × 108,980
  4. Step 4: Simplify right side
    68,438x = 11,876,640,400
  5. Step 5: Solve for x
    x = 11,876,640,400/68,438
  6. Step 6: Final answer
    x = 173,538.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.