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Finding the Third Proportional to 15.13 and 32.28

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Solution

The third proportional to 15.13 and 32.28 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.13 : 32.28 = 32.28 : x
  2. Step 2: Convert to fraction form
    15.13/32.28 = 32.28/x
  3. Step 3: Cross multiply
    15.13x = 32.28 × 32.28
  4. Step 4: Simplify right side
    15.13x = 1,042.08
  5. Step 5: Solve for x
    x = 1,042.08/15.13
  6. Step 6: Final answer
    x = 68.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.