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Finding the Third Proportional to 618,198.75 and 980,758.13

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Solution

The third proportional to 618,198.75 and 980,758.13 is: 1,555,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,198.75 : 980,758.13 = 980,758.13 : x
  2. Step 2: Convert to fraction form
    618,198.75/980,758.13 = 980,758.13/x
  3. Step 3: Cross multiply
    618,198.75x = 980,758.13 × 980,758.13
  4. Step 4: Simplify right side
    618,198.75x = 961,886,499,753.52
  5. Step 5: Solve for x
    x = 961,886,499,753.52/618,198.75
  6. Step 6: Final answer
    x = 1,555,950.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.