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Finding the Third Proportional to 25.38 and 53.69

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Solution

The third proportional to 25.38 and 53.69 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.38 : 53.69 = 53.69 : x
  2. Step 2: Convert to fraction form
    25.38/53.69 = 53.69/x
  3. Step 3: Cross multiply
    25.38x = 53.69 × 53.69
  4. Step 4: Simplify right side
    25.38x = 2,882.35
  5. Step 5: Solve for x
    x = 2,882.35/25.38
  6. Step 6: Final answer
    x = 113.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.