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Finding the Third Proportional to 179,655 and 391,203

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Solution

The third proportional to 179,655 and 391,203 is: 851,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,655 : 391,203 = 391,203 : x
  2. Step 2: Convert to fraction form
    179,655/391,203 = 391,203/x
  3. Step 3: Cross multiply
    179,655x = 391,203 × 391,203
  4. Step 4: Simplify right side
    179,655x = 153,039,787,209
  5. Step 5: Solve for x
    x = 153,039,787,209/179,655
  6. Step 6: Final answer
    x = 851,853.76

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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.