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Finding the Third Proportional to 398,928 and 861,264

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Solution

The third proportional to 398,928 and 861,264 is: 1,859,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,928 : 861,264 = 861,264 : x
  2. Step 2: Convert to fraction form
    398,928/861,264 = 861,264/x
  3. Step 3: Cross multiply
    398,928x = 861,264 × 861,264
  4. Step 4: Simplify right side
    398,928x = 741,775,677,696
  5. Step 5: Solve for x
    x = 741,775,677,696/398,928
  6. Step 6: Final answer
    x = 1,859,422.45

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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.