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Finding the Third Proportional to 25.39 and 53.87

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Solution

The third proportional to 25.39 and 53.87 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.39 : 53.87 = 53.87 : x
  2. Step 2: Convert to fraction form
    25.39/53.87 = 53.87/x
  3. Step 3: Cross multiply
    25.39x = 53.87 × 53.87
  4. Step 4: Simplify right side
    25.39x = 2,901.78
  5. Step 5: Solve for x
    x = 2,901.78/25.39
  6. Step 6: Final answer
    x = 114.28

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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.