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Finding the Third Proportional to 187,173 and 280,668.75

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Solution

The third proportional to 187,173 and 280,668.75 is: 420,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,173 : 280,668.75 = 280,668.75 : x
  2. Step 2: Convert to fraction form
    187,173/280,668.75 = 280,668.75/x
  3. Step 3: Cross multiply
    187,173x = 280,668.75 × 280,668.75
  4. Step 4: Simplify right side
    187,173x = 78,774,947,226.56
  5. Step 5: Solve for x
    x = 78,774,947,226.56/187,173
  6. Step 6: Final answer
    x = 420,867.04

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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.