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Finding the Third Proportional to 322,121.81 and 699,607.13

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Solution

The third proportional to 322,121.81 and 699,607.13 is: 1,519,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,121.81 : 699,607.13 = 699,607.13 : x
  2. Step 2: Convert to fraction form
    322,121.81/699,607.13 = 699,607.13/x
  3. Step 3: Cross multiply
    322,121.81x = 699,607.13 × 699,607.13
  4. Step 4: Simplify right side
    322,121.81x = 489,450,129,350.77
  5. Step 5: Solve for x
    x = 489,450,129,350.77/322,121.81
  6. Step 6: Final answer
    x = 1,519,456.65

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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.