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Finding the Third Proportional to 399,025 and 861,356

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Solution

The third proportional to 399,025 and 861,356 is: 1,859,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,025 : 861,356 = 861,356 : x
  2. Step 2: Convert to fraction form
    399,025/861,356 = 861,356/x
  3. Step 3: Cross multiply
    399,025x = 861,356 × 861,356
  4. Step 4: Simplify right side
    399,025x = 741,934,158,736
  5. Step 5: Solve for x
    x = 741,934,158,736/399,025
  6. Step 6: Final answer
    x = 1,859,367.61

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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.