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Finding the Third Proportional to 15.48 and 20.70

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Solution

The third proportional to 15.48 and 20.70 is: 27.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.48 : 20.70 = 20.70 : x
  2. Step 2: Convert to fraction form
    15.48/20.70 = 20.70/x
  3. Step 3: Cross multiply
    15.48x = 20.70 × 20.70
  4. Step 4: Simplify right side
    15.48x = 428.69
  5. Step 5: Solve for x
    x = 428.69/15.48
  6. Step 6: Final answer
    x = 27.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.