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Finding the Third Proportional to 397,317 and 865,566

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Solution

The third proportional to 397,317 and 865,566 is: 1,885,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,317 : 865,566 = 865,566 : x
  2. Step 2: Convert to fraction form
    397,317/865,566 = 865,566/x
  3. Step 3: Cross multiply
    397,317x = 865,566 × 865,566
  4. Step 4: Simplify right side
    397,317x = 749,204,500,356
  5. Step 5: Solve for x
    x = 749,204,500,356/397,317
  6. Step 6: Final answer
    x = 1,885,659.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.