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Finding the Third Proportional to 187,589 and 280,868

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Solution

The third proportional to 187,589 and 280,868 is: 420,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,589 : 280,868 = 280,868 : x
  2. Step 2: Convert to fraction form
    187,589/280,868 = 280,868/x
  3. Step 3: Cross multiply
    187,589x = 280,868 × 280,868
  4. Step 4: Simplify right side
    187,589x = 78,886,833,424
  5. Step 5: Solve for x
    x = 78,886,833,424/187,589
  6. Step 6: Final answer
    x = 420,530.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.