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Finding the Third Proportional to 177,950 and 378,508

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Solution

The third proportional to 177,950 and 378,508 is: 805,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,950 : 378,508 = 378,508 : x
  2. Step 2: Convert to fraction form
    177,950/378,508 = 378,508/x
  3. Step 3: Cross multiply
    177,950x = 378,508 × 378,508
  4. Step 4: Simplify right side
    177,950x = 143,268,306,064
  5. Step 5: Solve for x
    x = 143,268,306,064/177,950
  6. Step 6: Final answer
    x = 805,104.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.