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Finding the Third Proportional to 178,864.50 and 372,321

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Solution

The third proportional to 178,864.50 and 372,321 is: 775,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,864.50 : 372,321 = 372,321 : x
  2. Step 2: Convert to fraction form
    178,864.50/372,321 = 372,321/x
  3. Step 3: Cross multiply
    178,864.50x = 372,321 × 372,321
  4. Step 4: Simplify right side
    178,864.50x = 138,622,927,041
  5. Step 5: Solve for x
    x = 138,622,927,041/178,864.50
  6. Step 6: Final answer
    x = 775,016.43

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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.