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Finding the Third Proportional to 398,956 and 861,320

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Solution

The third proportional to 398,956 and 861,320 is: 1,859,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,956 : 861,320 = 861,320 : x
  2. Step 2: Convert to fraction form
    398,956/861,320 = 861,320/x
  3. Step 3: Cross multiply
    398,956x = 861,320 × 861,320
  4. Step 4: Simplify right side
    398,956x = 741,872,142,400
  5. Step 5: Solve for x
    x = 741,872,142,400/398,956
  6. Step 6: Final answer
    x = 1,859,533.74

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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.