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Finding the Third Proportional to 322,070 and 699,635

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Solution

The third proportional to 322,070 and 699,635 is: 1,519,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,070 : 699,635 = 699,635 : x
  2. Step 2: Convert to fraction form
    322,070/699,635 = 699,635/x
  3. Step 3: Cross multiply
    322,070x = 699,635 × 699,635
  4. Step 4: Simplify right side
    322,070x = 489,489,133,225
  5. Step 5: Solve for x
    x = 489,489,133,225/322,070
  6. Step 6: Final answer
    x = 1,519,822.19

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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.