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Finding the Third Proportional to 25.88 and 40.13

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Solution

The third proportional to 25.88 and 40.13 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 40.13 = 40.13 : x
  2. Step 2: Convert to fraction form
    25.88/40.13 = 40.13/x
  3. Step 3: Cross multiply
    25.88x = 40.13 × 40.13
  4. Step 4: Simplify right side
    25.88x = 1,610.02
  5. Step 5: Solve for x
    x = 1,610.02/25.88
  6. Step 6: Final answer
    x = 62.22

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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.