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Finding the Third Proportional to 178,442 and 396,250

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Solution

The third proportional to 178,442 and 396,250 is: 879,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,442 : 396,250 = 396,250 : x
  2. Step 2: Convert to fraction form
    178,442/396,250 = 396,250/x
  3. Step 3: Cross multiply
    178,442x = 396,250 × 396,250
  4. Step 4: Simplify right side
    178,442x = 157,014,062,500
  5. Step 5: Solve for x
    x = 157,014,062,500/178,442
  6. Step 6: Final answer
    x = 879,916.51

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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.