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Finding the Third Proportional to 15.29 and 21.74

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Solution

The third proportional to 15.29 and 21.74 is: 30.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.29 : 21.74 = 21.74 : x
  2. Step 2: Convert to fraction form
    15.29/21.74 = 21.74/x
  3. Step 3: Cross multiply
    15.29x = 21.74 × 21.74
  4. Step 4: Simplify right side
    15.29x = 472.81
  5. Step 5: Solve for x
    x = 472.81/15.29
  6. Step 6: Final answer
    x = 30.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.