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Finding the Third Proportional to 187,976.25 and 287,917.88

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Solution

The third proportional to 187,976.25 and 287,917.88 is: 440,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,976.25 : 287,917.88 = 287,917.88 : x
  2. Step 2: Convert to fraction form
    187,976.25/287,917.88 = 287,917.88/x
  3. Step 3: Cross multiply
    187,976.25x = 287,917.88 × 287,917.88
  4. Step 4: Simplify right side
    187,976.25x = 82,896,702,744.52
  5. Step 5: Solve for x
    x = 82,896,702,744.52/187,976.25
  6. Step 6: Final answer
    x = 440,995.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.