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Finding the Third Proportional to 51.47 and 82.05

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Solution

The third proportional to 51.47 and 82.05 is: 130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.47 : 82.05 = 82.05 : x
  2. Step 2: Convert to fraction form
    51.47/82.05 = 82.05/x
  3. Step 3: Cross multiply
    51.47x = 82.05 × 82.05
  4. Step 4: Simplify right side
    51.47x = 6,732.97
  5. Step 5: Solve for x
    x = 6,732.97/51.47
  6. Step 6: Final answer
    x = 130.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.