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Finding the Third Proportional to 218,960 and 472,112

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Solution

The third proportional to 218,960 and 472,112 is: 1,017,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960 : 472,112 = 472,112 : x
  2. Step 2: Convert to fraction form
    218,960/472,112 = 472,112/x
  3. Step 3: Cross multiply
    218,960x = 472,112 × 472,112
  4. Step 4: Simplify right side
    218,960x = 222,889,740,544
  5. Step 5: Solve for x
    x = 222,889,740,544/218,960
  6. Step 6: Final answer
    x = 1,017,947.30

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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.