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Finding the Third Proportional to 181,068 and 389,874

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Solution

The third proportional to 181,068 and 389,874 is: 839,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,068 : 389,874 = 389,874 : x
  2. Step 2: Convert to fraction form
    181,068/389,874 = 389,874/x
  3. Step 3: Cross multiply
    181,068x = 389,874 × 389,874
  4. Step 4: Simplify right side
    181,068x = 152,001,735,876
  5. Step 5: Solve for x
    x = 152,001,735,876/181,068
  6. Step 6: Final answer
    x = 839,473.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.