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Finding the Third Proportional to 322,712 and 699,858

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Solution

The third proportional to 322,712 and 699,858 is: 1,517,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,712 : 699,858 = 699,858 : x
  2. Step 2: Convert to fraction form
    322,712/699,858 = 699,858/x
  3. Step 3: Cross multiply
    322,712x = 699,858 × 699,858
  4. Step 4: Simplify right side
    322,712x = 489,801,220,164
  5. Step 5: Solve for x
    x = 489,801,220,164/322,712
  6. Step 6: Final answer
    x = 1,517,765.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.