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Finding the Third Proportional to 187,591 and 280,871

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Solution

The third proportional to 187,591 and 280,871 is: 420,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,591 : 280,871 = 280,871 : x
  2. Step 2: Convert to fraction form
    187,591/280,871 = 280,871/x
  3. Step 3: Cross multiply
    187,591x = 280,871 × 280,871
  4. Step 4: Simplify right side
    187,591x = 78,888,518,641
  5. Step 5: Solve for x
    x = 78,888,518,641/187,591
  6. Step 6: Final answer
    x = 420,534.67

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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.