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Finding the Third Proportional to 179,787 and 391,269

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Solution

The third proportional to 179,787 and 391,269 is: 851,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,787 : 391,269 = 391,269 : x
  2. Step 2: Convert to fraction form
    179,787/391,269 = 391,269/x
  3. Step 3: Cross multiply
    179,787x = 391,269 × 391,269
  4. Step 4: Simplify right side
    179,787x = 153,091,430,361
  5. Step 5: Solve for x
    x = 153,091,430,361/179,787
  6. Step 6: Final answer
    x = 851,515.57

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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.