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Finding the Third Proportional to 57.66 and 89.16

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Solution

The third proportional to 57.66 and 89.16 is: 137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 89.16 = 89.16 : x
  2. Step 2: Convert to fraction form
    57.66/89.16 = 89.16/x
  3. Step 3: Cross multiply
    57.66x = 89.16 × 89.16
  4. Step 4: Simplify right side
    57.66x = 7,948.84
  5. Step 5: Solve for x
    x = 7,948.84/57.66
  6. Step 6: Final answer
    x = 137.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.