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Finding the Third Proportional to 51.06 and 61.38

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Solution

The third proportional to 51.06 and 61.38 is: 73.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.06 : 61.38 = 61.38 : x
  2. Step 2: Convert to fraction form
    51.06/61.38 = 61.38/x
  3. Step 3: Cross multiply
    51.06x = 61.38 × 61.38
  4. Step 4: Simplify right side
    51.06x = 3,766.89
  5. Step 5: Solve for x
    x = 3,766.89/51.06
  6. Step 6: Final answer
    x = 73.77

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.