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Finding the Third Proportional to 51.56 and 82.03

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Solution

The third proportional to 51.56 and 82.03 is: 130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.56 : 82.03 = 82.03 : x
  2. Step 2: Convert to fraction form
    51.56/82.03 = 82.03/x
  3. Step 3: Cross multiply
    51.56x = 82.03 × 82.03
  4. Step 4: Simplify right side
    51.56x = 6,729.13
  5. Step 5: Solve for x
    x = 6,729.13/51.56
  6. Step 6: Final answer
    x = 130.50

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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.