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Finding the Third Proportional to 80,156 and 125,086

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Solution

The third proportional to 80,156 and 125,086 is: 195,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,156 : 125,086 = 125,086 : x
  2. Step 2: Convert to fraction form
    80,156/125,086 = 125,086/x
  3. Step 3: Cross multiply
    80,156x = 125,086 × 125,086
  4. Step 4: Simplify right side
    80,156x = 15,646,507,396
  5. Step 5: Solve for x
    x = 15,646,507,396/80,156
  6. Step 6: Final answer
    x = 195,200.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.