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Finding the Third Proportional to 218,976 and 472,128

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Solution

The third proportional to 218,976 and 472,128 is: 1,017,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,976 : 472,128 = 472,128 : x
  2. Step 2: Convert to fraction form
    218,976/472,128 = 472,128/x
  3. Step 3: Cross multiply
    218,976x = 472,128 × 472,128
  4. Step 4: Simplify right side
    218,976x = 222,904,848,384
  5. Step 5: Solve for x
    x = 222,904,848,384/218,976
  6. Step 6: Final answer
    x = 1,017,941.91

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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.