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Finding the Third Proportional to 204,790.78 and 448,947.56

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Solution

The third proportional to 204,790.78 and 448,947.56 is: 984,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,790.78 : 448,947.56 = 448,947.56 : x
  2. Step 2: Convert to fraction form
    204,790.78/448,947.56 = 448,947.56/x
  3. Step 3: Cross multiply
    204,790.78x = 448,947.56 × 448,947.56
  4. Step 4: Simplify right side
    204,790.78x = 201,553,913,874.69
  5. Step 5: Solve for x
    x = 201,553,913,874.69/204,790.78
  6. Step 6: Final answer
    x = 984,194.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.