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Finding the Third Proportional to 25.13 and 43.17

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Solution

The third proportional to 25.13 and 43.17 is: 74.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.13 : 43.17 = 43.17 : x
  2. Step 2: Convert to fraction form
    25.13/43.17 = 43.17/x
  3. Step 3: Cross multiply
    25.13x = 43.17 × 43.17
  4. Step 4: Simplify right side
    25.13x = 1,863.81
  5. Step 5: Solve for x
    x = 1,863.81/25.13
  6. Step 6: Final answer
    x = 74.18

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.