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Finding the Third Proportional to 25.56 and 54.78

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Solution

The third proportional to 25.56 and 54.78 is: 117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.56 : 54.78 = 54.78 : x
  2. Step 2: Convert to fraction form
    25.56/54.78 = 54.78/x
  3. Step 3: Cross multiply
    25.56x = 54.78 × 54.78
  4. Step 4: Simplify right side
    25.56x = 3,000.99
  5. Step 5: Solve for x
    x = 3,000.99/25.56
  6. Step 6: Final answer
    x = 117.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.