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Finding the Third Proportional to 120,769.50 and 284,166.75

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Solution

The third proportional to 120,769.50 and 284,166.75 is: 668,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,769.50 : 284,166.75 = 284,166.75 : x
  2. Step 2: Convert to fraction form
    120,769.50/284,166.75 = 284,166.75/x
  3. Step 3: Cross multiply
    120,769.50x = 284,166.75 × 284,166.75
  4. Step 4: Simplify right side
    120,769.50x = 80,750,741,805.56
  5. Step 5: Solve for x
    x = 80,750,741,805.56/120,769.50
  6. Step 6: Final answer
    x = 668,635.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.