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Finding the Third Proportional to 42.57 and 66.90

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Solution

The third proportional to 42.57 and 66.90 is: 105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 66.90 = 66.90 : x
  2. Step 2: Convert to fraction form
    42.57/66.90 = 66.90/x
  3. Step 3: Cross multiply
    42.57x = 66.90 × 66.90
  4. Step 4: Simplify right side
    42.57x = 4,475.67
  5. Step 5: Solve for x
    x = 4,475.67/42.57
  6. Step 6: Final answer
    x = 105.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.