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Finding the Third Proportional to 187,991.25 and 391,474.50

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Solution

The third proportional to 187,991.25 and 391,474.50 is: 815,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,991.25 : 391,474.50 = 391,474.50 : x
  2. Step 2: Convert to fraction form
    187,991.25/391,474.50 = 391,474.50/x
  3. Step 3: Cross multiply
    187,991.25x = 391,474.50 × 391,474.50
  4. Step 4: Simplify right side
    187,991.25x = 153,252,284,150.25
  5. Step 5: Solve for x
    x = 153,252,284,150.25/187,991.25
  6. Step 6: Final answer
    x = 815,209.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.