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Finding the Third Proportional to 322,866 and 687,771

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Solution

The third proportional to 322,866 and 687,771 is: 1,465,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,866 : 687,771 = 687,771 : x
  2. Step 2: Convert to fraction form
    322,866/687,771 = 687,771/x
  3. Step 3: Cross multiply
    322,866x = 687,771 × 687,771
  4. Step 4: Simplify right side
    322,866x = 473,028,948,441
  5. Step 5: Solve for x
    x = 473,028,948,441/322,866
  6. Step 6: Final answer
    x = 1,465,093.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.