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Finding the Third Proportional to 180,546.50 and 391,225

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Solution

The third proportional to 180,546.50 and 391,225 is: 847,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,546.50 : 391,225 = 391,225 : x
  2. Step 2: Convert to fraction form
    180,546.50/391,225 = 391,225/x
  3. Step 3: Cross multiply
    180,546.50x = 391,225 × 391,225
  4. Step 4: Simplify right side
    180,546.50x = 153,057,000,625
  5. Step 5: Solve for x
    x = 153,057,000,625/180,546.50
  6. Step 6: Final answer
    x = 847,742.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.