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Finding the Third Proportional to 399,084 and 861,474

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Solution

The third proportional to 399,084 and 861,474 is: 1,859,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,084 : 861,474 = 861,474 : x
  2. Step 2: Convert to fraction form
    399,084/861,474 = 861,474/x
  3. Step 3: Cross multiply
    399,084x = 861,474 × 861,474
  4. Step 4: Simplify right side
    399,084x = 742,137,452,676
  5. Step 5: Solve for x
    x = 742,137,452,676/399,084
  6. Step 6: Final answer
    x = 1,859,602.12

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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.