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Finding the Third Proportional to 398,908 and 861,240

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Solution

The third proportional to 398,908 and 861,240 is: 1,859,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,908 : 861,240 = 861,240 : x
  2. Step 2: Convert to fraction form
    398,908/861,240 = 861,240/x
  3. Step 3: Cross multiply
    398,908x = 861,240 × 861,240
  4. Step 4: Simplify right side
    398,908x = 741,734,337,600
  5. Step 5: Solve for x
    x = 741,734,337,600/398,908
  6. Step 6: Final answer
    x = 1,859,412.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.