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Finding the Third Proportional to 187,185.75 and 280,686

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Solution

The third proportional to 187,185.75 and 280,686 is: 420,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,185.75 : 280,686 = 280,686 : x
  2. Step 2: Convert to fraction form
    187,185.75/280,686 = 280,686/x
  3. Step 3: Cross multiply
    187,185.75x = 280,686 × 280,686
  4. Step 4: Simplify right side
    187,185.75x = 78,784,630,596
  5. Step 5: Solve for x
    x = 78,784,630,596/187,185.75
  6. Step 6: Final answer
    x = 420,890.11

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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.