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Finding the Third Proportional to 68,586 and 103,739

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Solution

The third proportional to 68,586 and 103,739 is: 156,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,586 : 103,739 = 103,739 : x
  2. Step 2: Convert to fraction form
    68,586/103,739 = 103,739/x
  3. Step 3: Cross multiply
    68,586x = 103,739 × 103,739
  4. Step 4: Simplify right side
    68,586x = 10,761,780,121
  5. Step 5: Solve for x
    x = 10,761,780,121/68,586
  6. Step 6: Final answer
    x = 156,909.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.