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Finding the Third Proportional to 30.52 and 66.13

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Solution

The third proportional to 30.52 and 66.13 is: 143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.52 : 66.13 = 66.13 : x
  2. Step 2: Convert to fraction form
    30.52/66.13 = 66.13/x
  3. Step 3: Cross multiply
    30.52x = 66.13 × 66.13
  4. Step 4: Simplify right side
    30.52x = 4,373.03
  5. Step 5: Solve for x
    x = 4,373.03/30.52
  6. Step 6: Final answer
    x = 143.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.