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Finding the Third Proportional to 25.25 and 39.19

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Solution

The third proportional to 25.25 and 39.19 is: 60.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.25 : 39.19 = 39.19 : x
  2. Step 2: Convert to fraction form
    25.25/39.19 = 39.19/x
  3. Step 3: Cross multiply
    25.25x = 39.19 × 39.19
  4. Step 4: Simplify right side
    25.25x = 1,535.66
  5. Step 5: Solve for x
    x = 1,535.66/25.25
  6. Step 6: Final answer
    x = 60.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.