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Finding the Third Proportional to 178,447.50 and 396,261

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Solution

The third proportional to 178,447.50 and 396,261 is: 879,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447.50 : 396,261 = 396,261 : x
  2. Step 2: Convert to fraction form
    178,447.50/396,261 = 396,261/x
  3. Step 3: Cross multiply
    178,447.50x = 396,261 × 396,261
  4. Step 4: Simplify right side
    178,447.50x = 157,022,780,121
  5. Step 5: Solve for x
    x = 157,022,780,121/178,447.50
  6. Step 6: Final answer
    x = 879,938.25

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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.