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Finding the Third Proportional to 20.13 and 48.13

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Solution

The third proportional to 20.13 and 48.13 is: 115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.13 : 48.13 = 48.13 : x
  2. Step 2: Convert to fraction form
    20.13/48.13 = 48.13/x
  3. Step 3: Cross multiply
    20.13x = 48.13 × 48.13
  4. Step 4: Simplify right side
    20.13x = 2,316.02
  5. Step 5: Solve for x
    x = 2,316.02/20.13
  6. Step 6: Final answer
    x = 115.08

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.