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Finding the Third Proportional to 30.38 and 42.66

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Solution

The third proportional to 30.38 and 42.66 is: 59.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.38 : 42.66 = 42.66 : x
  2. Step 2: Convert to fraction form
    30.38/42.66 = 42.66/x
  3. Step 3: Cross multiply
    30.38x = 42.66 × 42.66
  4. Step 4: Simplify right side
    30.38x = 1,819.56
  5. Step 5: Solve for x
    x = 1,819.56/30.38
  6. Step 6: Final answer
    x = 59.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.