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Finding the Third Proportional to 311,948 and 687,448

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Solution

The third proportional to 311,948 and 687,448 is: 1,514,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948 : 687,448 = 687,448 : x
  2. Step 2: Convert to fraction form
    311,948/687,448 = 687,448/x
  3. Step 3: Cross multiply
    311,948x = 687,448 × 687,448
  4. Step 4: Simplify right side
    311,948x = 472,584,752,704
  5. Step 5: Solve for x
    x = 472,584,752,704/311,948
  6. Step 6: Final answer
    x = 1,514,947.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.