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Finding the Third Proportional to 322,005 and 699,330

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Solution

The third proportional to 322,005 and 699,330 is: 1,518,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,005 : 699,330 = 699,330 : x
  2. Step 2: Convert to fraction form
    322,005/699,330 = 699,330/x
  3. Step 3: Cross multiply
    322,005x = 699,330 × 699,330
  4. Step 4: Simplify right side
    322,005x = 489,062,448,900
  5. Step 5: Solve for x
    x = 489,062,448,900/322,005
  6. Step 6: Final answer
    x = 1,518,803.90

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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.