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Finding the Third Proportional to 4.78 and 12.55

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Solution

The third proportional to 4.78 and 12.55 is: 32.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.78 : 12.55 = 12.55 : x
  2. Step 2: Convert to fraction form
    4.78/12.55 = 12.55/x
  3. Step 3: Cross multiply
    4.78x = 12.55 × 12.55
  4. Step 4: Simplify right side
    4.78x = 157.42
  5. Step 5: Solve for x
    x = 157.42/4.78
  6. Step 6: Final answer
    x = 32.95

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.