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Finding the Third Proportional to 25.69 and 40.13

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Solution

The third proportional to 25.69 and 40.13 is: 62.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.69 : 40.13 = 40.13 : x
  2. Step 2: Convert to fraction form
    25.69/40.13 = 40.13/x
  3. Step 3: Cross multiply
    25.69x = 40.13 × 40.13
  4. Step 4: Simplify right side
    25.69x = 1,610.02
  5. Step 5: Solve for x
    x = 1,610.02/25.69
  6. Step 6: Final answer
    x = 62.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.