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Finding the Third Proportional to 178,760 and 372,221

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Solution

The third proportional to 178,760 and 372,221 is: 775,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,760 : 372,221 = 372,221 : x
  2. Step 2: Convert to fraction form
    178,760/372,221 = 372,221/x
  3. Step 3: Cross multiply
    178,760x = 372,221 × 372,221
  4. Step 4: Simplify right side
    178,760x = 138,548,472,841
  5. Step 5: Solve for x
    x = 138,548,472,841/178,760
  6. Step 6: Final answer
    x = 775,052.99

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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.