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Finding the Third Proportional to 20.49 and 48.10

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Solution

The third proportional to 20.49 and 48.10 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.49 : 48.10 = 48.10 : x
  2. Step 2: Convert to fraction form
    20.49/48.10 = 48.10/x
  3. Step 3: Cross multiply
    20.49x = 48.10 × 48.10
  4. Step 4: Simplify right side
    20.49x = 2,313.64
  5. Step 5: Solve for x
    x = 2,313.64/20.49
  6. Step 6: Final answer
    x = 112.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.