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Finding the Third Proportional to 177,948 and 378,504

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Solution

The third proportional to 177,948 and 378,504 is: 805,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,948 : 378,504 = 378,504 : x
  2. Step 2: Convert to fraction form
    177,948/378,504 = 378,504/x
  3. Step 3: Cross multiply
    177,948x = 378,504 × 378,504
  4. Step 4: Simplify right side
    177,948x = 143,265,278,016
  5. Step 5: Solve for x
    x = 143,265,278,016/177,948
  6. Step 6: Final answer
    x = 805,096.31

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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.