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Finding the Third Proportional to 178,456.50 and 386,313.75

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Solution

The third proportional to 178,456.50 and 386,313.75 is: 836,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,456.50 : 386,313.75 = 386,313.75 : x
  2. Step 2: Convert to fraction form
    178,456.50/386,313.75 = 386,313.75/x
  3. Step 3: Cross multiply
    178,456.50x = 386,313.75 × 386,313.75
  4. Step 4: Simplify right side
    178,456.50x = 149,238,313,439.06
  5. Step 5: Solve for x
    x = 149,238,313,439.06/178,456.50
  6. Step 6: Final answer
    x = 836,272.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.