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Finding the Third Proportional to 87.33 and 162.11

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Solution

The third proportional to 87.33 and 162.11 is: 300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.33 : 162.11 = 162.11 : x
  2. Step 2: Convert to fraction form
    87.33/162.11 = 162.11/x
  3. Step 3: Cross multiply
    87.33x = 162.11 × 162.11
  4. Step 4: Simplify right side
    87.33x = 26,278.18
  5. Step 5: Solve for x
    x = 26,278.18/87.33
  6. Step 6: Final answer
    x = 300.91

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.