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Finding the Third Proportional to 207,821 and 322,424

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Solution

The third proportional to 207,821 and 322,424 is: 500,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,821 : 322,424 = 322,424 : x
  2. Step 2: Convert to fraction form
    207,821/322,424 = 322,424/x
  3. Step 3: Cross multiply
    207,821x = 322,424 × 322,424
  4. Step 4: Simplify right side
    207,821x = 103,957,235,776
  5. Step 5: Solve for x
    x = 103,957,235,776/207,821
  6. Step 6: Final answer
    x = 500,224.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.