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Finding the Third Proportional to 179,945 and 393,788

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Solution

The third proportional to 179,945 and 393,788 is: 861,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,945 : 393,788 = 393,788 : x
  2. Step 2: Convert to fraction form
    179,945/393,788 = 393,788/x
  3. Step 3: Cross multiply
    179,945x = 393,788 × 393,788
  4. Step 4: Simplify right side
    179,945x = 155,068,988,944
  5. Step 5: Solve for x
    x = 155,068,988,944/179,945
  6. Step 6: Final answer
    x = 861,757.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.