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Finding the Third Proportional to 218,958 and 472,098

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Solution

The third proportional to 218,958 and 472,098 is: 1,017,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,958 : 472,098 = 472,098 : x
  2. Step 2: Convert to fraction form
    218,958/472,098 = 472,098/x
  3. Step 3: Cross multiply
    218,958x = 472,098 × 472,098
  4. Step 4: Simplify right side
    218,958x = 222,876,521,604
  5. Step 5: Solve for x
    x = 222,876,521,604/218,958
  6. Step 6: Final answer
    x = 1,017,896.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.