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Finding the Third Proportional to 25.17 and 54.47

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Solution

The third proportional to 25.17 and 54.47 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.17 : 54.47 = 54.47 : x
  2. Step 2: Convert to fraction form
    25.17/54.47 = 54.47/x
  3. Step 3: Cross multiply
    25.17x = 54.47 × 54.47
  4. Step 4: Simplify right side
    25.17x = 2,966.84
  5. Step 5: Solve for x
    x = 2,966.84/25.17
  6. Step 6: Final answer
    x = 117.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.