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Finding the Third Proportional to 180,076.50 and 391,861.13

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Solution

The third proportional to 180,076.50 and 391,861.13 is: 852,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,076.50 : 391,861.13 = 391,861.13 : x
  2. Step 2: Convert to fraction form
    180,076.50/391,861.13 = 391,861.13/x
  3. Step 3: Cross multiply
    180,076.50x = 391,861.13 × 391,861.13
  4. Step 4: Simplify right side
    180,076.50x = 153,555,141,286.27
  5. Step 5: Solve for x
    x = 153,555,141,286.27/180,076.50
  6. Step 6: Final answer
    x = 852,721.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.