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Finding the Third Proportional to 207,006.38 and 421,625.25

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Solution

The third proportional to 207,006.38 and 421,625.25 is: 858,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,006.38 : 421,625.25 = 421,625.25 : x
  2. Step 2: Convert to fraction form
    207,006.38/421,625.25 = 421,625.25/x
  3. Step 3: Cross multiply
    207,006.38x = 421,625.25 × 421,625.25
  4. Step 4: Simplify right side
    207,006.38x = 177,767,851,437.56
  5. Step 5: Solve for x
    x = 177,767,851,437.56/207,006.38
  6. Step 6: Final answer
    x = 858,755.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.