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Finding the Third Proportional to 24.80 and 53.87

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Solution

The third proportional to 24.80 and 53.87 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.80 : 53.87 = 53.87 : x
  2. Step 2: Convert to fraction form
    24.80/53.87 = 53.87/x
  3. Step 3: Cross multiply
    24.80x = 53.87 × 53.87
  4. Step 4: Simplify right side
    24.80x = 2,901.78
  5. Step 5: Solve for x
    x = 2,901.78/24.80
  6. Step 6: Final answer
    x = 117.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.