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Finding the Third Proportional to 187,014 and 280,448

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Solution

The third proportional to 187,014 and 280,448 is: 420,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,014 : 280,448 = 280,448 : x
  2. Step 2: Convert to fraction form
    187,014/280,448 = 280,448/x
  3. Step 3: Cross multiply
    187,014x = 280,448 × 280,448
  4. Step 4: Simplify right side
    187,014x = 78,651,080,704
  5. Step 5: Solve for x
    x = 78,651,080,704/187,014
  6. Step 6: Final answer
    x = 420,562.53

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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.