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Finding the Third Proportional to 179,661 and 391,195.50

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Solution

The third proportional to 179,661 and 391,195.50 is: 851,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,661 : 391,195.50 = 391,195.50 : x
  2. Step 2: Convert to fraction form
    179,661/391,195.50 = 391,195.50/x
  3. Step 3: Cross multiply
    179,661x = 391,195.50 × 391,195.50
  4. Step 4: Simplify right side
    179,661x = 153,033,919,220.25
  5. Step 5: Solve for x
    x = 153,033,919,220.25/179,661
  6. Step 6: Final answer
    x = 851,792.65

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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.