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Finding the Third Proportional to 80,140.50 and 113,910.75

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Solution

The third proportional to 80,140.50 and 113,910.75 is: 161,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,140.50 : 113,910.75 = 113,910.75 : x
  2. Step 2: Convert to fraction form
    80,140.50/113,910.75 = 113,910.75/x
  3. Step 3: Cross multiply
    80,140.50x = 113,910.75 × 113,910.75
  4. Step 4: Simplify right side
    80,140.50x = 12,975,658,965.56
  5. Step 5: Solve for x
    x = 12,975,658,965.56/80,140.50
  6. Step 6: Final answer
    x = 161,911.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.