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Finding the Third Proportional to 51.84 and 98.03

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Solution

The third proportional to 51.84 and 98.03 is: 185.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 98.03 = 98.03 : x
  2. Step 2: Convert to fraction form
    51.84/98.03 = 98.03/x
  3. Step 3: Cross multiply
    51.84x = 98.03 × 98.03
  4. Step 4: Simplify right side
    51.84x = 9,610.13
  5. Step 5: Solve for x
    x = 9,610.13/51.84
  6. Step 6: Final answer
    x = 185.37

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.