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Finding the Third Proportional to 399,357 and 868,698

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Solution

The third proportional to 399,357 and 868,698 is: 1,889,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,357 : 868,698 = 868,698 : x
  2. Step 2: Convert to fraction form
    399,357/868,698 = 868,698/x
  3. Step 3: Cross multiply
    399,357x = 868,698 × 868,698
  4. Step 4: Simplify right side
    399,357x = 754,636,215,204
  5. Step 5: Solve for x
    x = 754,636,215,204/399,357
  6. Step 6: Final answer
    x = 1,889,628.12

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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.