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Finding the Third Proportional to 30.34 and 61.52

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Solution

The third proportional to 30.34 and 61.52 is: 124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.34 : 61.52 = 61.52 : x
  2. Step 2: Convert to fraction form
    30.34/61.52 = 61.52/x
  3. Step 3: Cross multiply
    30.34x = 61.52 × 61.52
  4. Step 4: Simplify right side
    30.34x = 3,785.13
  5. Step 5: Solve for x
    x = 3,785.13/30.34
  6. Step 6: Final answer
    x = 124.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.