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Finding the Third Proportional to 25.17 and 53.72

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Solution

The third proportional to 25.17 and 53.72 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.17 : 53.72 = 53.72 : x
  2. Step 2: Convert to fraction form
    25.17/53.72 = 53.72/x
  3. Step 3: Cross multiply
    25.17x = 53.72 × 53.72
  4. Step 4: Simplify right side
    25.17x = 2,885.70
  5. Step 5: Solve for x
    x = 2,885.70/25.17
  6. Step 6: Final answer
    x = 114.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.