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Finding the Third Proportional to 397,392 and 861,084

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Solution

The third proportional to 397,392 and 861,084 is: 1,865,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,392 : 861,084 = 861,084 : x
  2. Step 2: Convert to fraction form
    397,392/861,084 = 861,084/x
  3. Step 3: Cross multiply
    397,392x = 861,084 × 861,084
  4. Step 4: Simplify right side
    397,392x = 741,465,655,056
  5. Step 5: Solve for x
    x = 741,465,655,056/397,392
  6. Step 6: Final answer
    x = 1,865,829.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.