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Finding the Third Proportional to 178,813 and 372,173

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Solution

The third proportional to 178,813 and 372,173 is: 774,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,813 : 372,173 = 372,173 : x
  2. Step 2: Convert to fraction form
    178,813/372,173 = 372,173/x
  3. Step 3: Cross multiply
    178,813x = 372,173 × 372,173
  4. Step 4: Simplify right side
    178,813x = 138,512,741,929
  5. Step 5: Solve for x
    x = 138,512,741,929/178,813
  6. Step 6: Final answer
    x = 774,623.44

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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.