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Finding the Third Proportional to 87.82 and 128.36

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Solution

The third proportional to 87.82 and 128.36 is: 187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.82 : 128.36 = 128.36 : x
  2. Step 2: Convert to fraction form
    87.82/128.36 = 128.36/x
  3. Step 3: Cross multiply
    87.82x = 128.36 × 128.36
  4. Step 4: Simplify right side
    87.82x = 16,475.13
  5. Step 5: Solve for x
    x = 16,475.13/87.82
  6. Step 6: Final answer
    x = 187.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.