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Finding the Third Proportional to 15.48 and 32.97

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Solution

The third proportional to 15.48 and 32.97 is: 70.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.48 : 32.97 = 32.97 : x
  2. Step 2: Convert to fraction form
    15.48/32.97 = 32.97/x
  3. Step 3: Cross multiply
    15.48x = 32.97 × 32.97
  4. Step 4: Simplify right side
    15.48x = 1,087.06
  5. Step 5: Solve for x
    x = 1,087.06/15.48
  6. Step 6: Final answer
    x = 70.20

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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.