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Finding the Third Proportional to 680,198.50 and 1,016,744

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Solution

The third proportional to 680,198.50 and 1,016,744 is: 1,519,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,198.50 : 1,016,744 = 1,016,744 : x
  2. Step 2: Convert to fraction form
    680,198.50/1,016,744 = 1,016,744/x
  3. Step 3: Cross multiply
    680,198.50x = 1,016,744 × 1,016,744
  4. Step 4: Simplify right side
    680,198.50x = 1,033,768,361,536
  5. Step 5: Solve for x
    x = 1,033,768,361,536/680,198.50
  6. Step 6: Final answer
    x = 1,519,803.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.