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Finding the Third Proportional to 51.19 and 99.80

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Solution

The third proportional to 51.19 and 99.80 is: 194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 99.80 = 99.80 : x
  2. Step 2: Convert to fraction form
    51.19/99.80 = 99.80/x
  3. Step 3: Cross multiply
    51.19x = 99.80 × 99.80
  4. Step 4: Simplify right side
    51.19x = 9,959.42
  5. Step 5: Solve for x
    x = 9,959.42/51.19
  6. Step 6: Final answer
    x = 194.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.