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Finding the Third Proportional to 25.53 and 39.53

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Solution

The third proportional to 25.53 and 39.53 is: 61.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.53 : 39.53 = 39.53 : x
  2. Step 2: Convert to fraction form
    25.53/39.53 = 39.53/x
  3. Step 3: Cross multiply
    25.53x = 39.53 × 39.53
  4. Step 4: Simplify right side
    25.53x = 1,562.72
  5. Step 5: Solve for x
    x = 1,562.72/25.53
  6. Step 6: Final answer
    x = 61.21

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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.