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Finding the Third Proportional to 187,268 and 280,614

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Solution

The third proportional to 187,268 and 280,614 is: 420,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,268 : 280,614 = 280,614 : x
  2. Step 2: Convert to fraction form
    187,268/280,614 = 280,614/x
  3. Step 3: Cross multiply
    187,268x = 280,614 × 280,614
  4. Step 4: Simplify right side
    187,268x = 78,744,216,996
  5. Step 5: Solve for x
    x = 78,744,216,996/187,268
  6. Step 6: Final answer
    x = 420,489.44

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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.