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Finding the Third Proportional to 42.94 and 66.47

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Solution

The third proportional to 42.94 and 66.47 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 66.47 = 66.47 : x
  2. Step 2: Convert to fraction form
    42.94/66.47 = 66.47/x
  3. Step 3: Cross multiply
    42.94x = 66.47 × 66.47
  4. Step 4: Simplify right side
    42.94x = 4,418.09
  5. Step 5: Solve for x
    x = 4,418.09/42.94
  6. Step 6: Final answer
    x = 102.90

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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.