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Finding the Third Proportional to 30.61 and 66.92

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Solution

The third proportional to 30.61 and 66.92 is: 146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.61 : 66.92 = 66.92 : x
  2. Step 2: Convert to fraction form
    30.61/66.92 = 66.92/x
  3. Step 3: Cross multiply
    30.61x = 66.92 × 66.92
  4. Step 4: Simplify right side
    30.61x = 4,478.28
  5. Step 5: Solve for x
    x = 4,478.28/30.61
  6. Step 6: Final answer
    x = 146.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.