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Finding the Third Proportional to 25.35 and 55.14

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Solution

The third proportional to 25.35 and 55.14 is: 119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.35 : 55.14 = 55.14 : x
  2. Step 2: Convert to fraction form
    25.35/55.14 = 55.14/x
  3. Step 3: Cross multiply
    25.35x = 55.14 × 55.14
  4. Step 4: Simplify right side
    25.35x = 3,040.06
  5. Step 5: Solve for x
    x = 3,040.06/25.35
  6. Step 6: Final answer
    x = 119.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.