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Finding the Third Proportional to 178,787 and 372,276

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Solution

The third proportional to 178,787 and 372,276 is: 775,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,787 : 372,276 = 372,276 : x
  2. Step 2: Convert to fraction form
    178,787/372,276 = 372,276/x
  3. Step 3: Cross multiply
    178,787x = 372,276 × 372,276
  4. Step 4: Simplify right side
    178,787x = 138,589,420,176
  5. Step 5: Solve for x
    x = 138,589,420,176/178,787
  6. Step 6: Final answer
    x = 775,164.97

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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.