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Finding the Third Proportional to 41.81 and 87.75

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Solution

The third proportional to 41.81 and 87.75 is: 184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 87.75 = 87.75 : x
  2. Step 2: Convert to fraction form
    41.81/87.75 = 87.75/x
  3. Step 3: Cross multiply
    41.81x = 87.75 × 87.75
  4. Step 4: Simplify right side
    41.81x = 7,700.06
  5. Step 5: Solve for x
    x = 7,700.06/41.81
  6. Step 6: Final answer
    x = 184.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.