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Finding the Third Proportional to 178,228.75 and 396,305.75

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Solution

The third proportional to 178,228.75 and 396,305.75 is: 881,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,228.75 : 396,305.75 = 396,305.75 : x
  2. Step 2: Convert to fraction form
    178,228.75/396,305.75 = 396,305.75/x
  3. Step 3: Cross multiply
    178,228.75x = 396,305.75 × 396,305.75
  4. Step 4: Simplify right side
    178,228.75x = 157,058,247,483.06
  5. Step 5: Solve for x
    x = 157,058,247,483.06/178,228.75
  6. Step 6: Final answer
    x = 881,217.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.