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Finding the Third Proportional to 177,438 and 268,005

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Solution

The third proportional to 177,438 and 268,005 is: 404,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,438 : 268,005 = 268,005 : x
  2. Step 2: Convert to fraction form
    177,438/268,005 = 268,005/x
  3. Step 3: Cross multiply
    177,438x = 268,005 × 268,005
  4. Step 4: Simplify right side
    177,438x = 71,826,680,025
  5. Step 5: Solve for x
    x = 71,826,680,025/177,438
  6. Step 6: Final answer
    x = 404,798.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.