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Finding the Third Proportional to 191,515.50 and 281,976.75

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Solution

The third proportional to 191,515.50 and 281,976.75 is: 415,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,515.50 : 281,976.75 = 281,976.75 : x
  2. Step 2: Convert to fraction form
    191,515.50/281,976.75 = 281,976.75/x
  3. Step 3: Cross multiply
    191,515.50x = 281,976.75 × 281,976.75
  4. Step 4: Simplify right side
    191,515.50x = 79,510,887,540.56
  5. Step 5: Solve for x
    x = 79,510,887,540.56/191,515.50
  6. Step 6: Final answer
    x = 415,166.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.