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Finding the Third Proportional to 178,299 and 391,581

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Solution

The third proportional to 178,299 and 391,581 is: 859,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,299 : 391,581 = 391,581 : x
  2. Step 2: Convert to fraction form
    178,299/391,581 = 391,581/x
  3. Step 3: Cross multiply
    178,299x = 391,581 × 391,581
  4. Step 4: Simplify right side
    178,299x = 153,335,679,561
  5. Step 5: Solve for x
    x = 153,335,679,561/178,299
  6. Step 6: Final answer
    x = 859,991.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.