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Finding the Third Proportional to 218,392 and 460,112

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Solution

The third proportional to 218,392 and 460,112 is: 969,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,392 : 460,112 = 460,112 : x
  2. Step 2: Convert to fraction form
    218,392/460,112 = 460,112/x
  3. Step 3: Cross multiply
    218,392x = 460,112 × 460,112
  4. Step 4: Simplify right side
    218,392x = 211,703,052,544
  5. Step 5: Solve for x
    x = 211,703,052,544/218,392
  6. Step 6: Final answer
    x = 969,371.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.