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Finding the Third Proportional to 207,625 and 287,619

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Solution

The third proportional to 207,625 and 287,619 is: 398,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,625 : 287,619 = 287,619 : x
  2. Step 2: Convert to fraction form
    207,625/287,619 = 287,619/x
  3. Step 3: Cross multiply
    207,625x = 287,619 × 287,619
  4. Step 4: Simplify right side
    207,625x = 82,724,689,161
  5. Step 5: Solve for x
    x = 82,724,689,161/207,625
  6. Step 6: Final answer
    x = 398,433.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.