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Finding the Third Proportional to 207,990 and 297,223

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Solution

The third proportional to 207,990 and 297,223 is: 424,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,990 : 297,223 = 297,223 : x
  2. Step 2: Convert to fraction form
    207,990/297,223 = 297,223/x
  3. Step 3: Cross multiply
    207,990x = 297,223 × 297,223
  4. Step 4: Simplify right side
    207,990x = 88,341,511,729
  5. Step 5: Solve for x
    x = 88,341,511,729/207,990
  6. Step 6: Final answer
    x = 424,739.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.