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Finding the Third Proportional to 87.96 and 145.90

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Solution

The third proportional to 87.96 and 145.90 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.96 : 145.90 = 145.90 : x
  2. Step 2: Convert to fraction form
    87.96/145.90 = 145.90/x
  3. Step 3: Cross multiply
    87.96x = 145.90 × 145.90
  4. Step 4: Simplify right side
    87.96x = 21,286.35
  5. Step 5: Solve for x
    x = 21,286.35/87.96
  6. Step 6: Final answer
    x = 242.00

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.