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Finding the Third Proportional to 178,767 and 372,231

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Solution

The third proportional to 178,767 and 372,231 is: 775,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,767 : 372,231 = 372,231 : x
  2. Step 2: Convert to fraction form
    178,767/372,231 = 372,231/x
  3. Step 3: Cross multiply
    178,767x = 372,231 × 372,231
  4. Step 4: Simplify right side
    178,767x = 138,555,917,361
  5. Step 5: Solve for x
    x = 138,555,917,361/178,767
  6. Step 6: Final answer
    x = 775,064.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.