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Finding the Third Proportional to 15.29 and 30.11

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Solution

The third proportional to 15.29 and 30.11 is: 59.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.29 : 30.11 = 30.11 : x
  2. Step 2: Convert to fraction form
    15.29/30.11 = 30.11/x
  3. Step 3: Cross multiply
    15.29x = 30.11 × 30.11
  4. Step 4: Simplify right side
    15.29x = 906.69
  5. Step 5: Solve for x
    x = 906.69/15.29
  6. Step 6: Final answer
    x = 59.29

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.