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Finding the Third Proportional to 24.75 and 42.19

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Solution

The third proportional to 24.75 and 42.19 is: 71.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 42.19 = 42.19 : x
  2. Step 2: Convert to fraction form
    24.75/42.19 = 42.19/x
  3. Step 3: Cross multiply
    24.75x = 42.19 × 42.19
  4. Step 4: Simplify right side
    24.75x = 1,779.79
  5. Step 5: Solve for x
    x = 1,779.79/24.75
  6. Step 6: Final answer
    x = 71.91

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.