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Finding the Third Proportional to 638,854.59 and 981,940.22

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Solution

The third proportional to 638,854.59 and 981,940.22 is: 1,509,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,854.59 : 981,940.22 = 981,940.22 : x
  2. Step 2: Convert to fraction form
    638,854.59/981,940.22 = 981,940.22/x
  3. Step 3: Cross multiply
    638,854.59x = 981,940.22 × 981,940.22
  4. Step 4: Simplify right side
    638,854.59x = 964,206,593,198.80
  5. Step 5: Solve for x
    x = 964,206,593,198.80/638,854.59
  6. Step 6: Final answer
    x = 1,509,273.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.