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Finding the Third Proportional to 68,614 and 103,086

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Solution

The third proportional to 68,614 and 103,086 is: 154,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614 : 103,086 = 103,086 : x
  2. Step 2: Convert to fraction form
    68,614/103,086 = 103,086/x
  3. Step 3: Cross multiply
    68,614x = 103,086 × 103,086
  4. Step 4: Simplify right side
    68,614x = 10,626,723,396
  5. Step 5: Solve for x
    x = 10,626,723,396/68,614
  6. Step 6: Final answer
    x = 154,876.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.