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Finding the Third Proportional to 218,932 and 471,627

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Solution

The third proportional to 218,932 and 471,627 is: 1,015,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,932 : 471,627 = 471,627 : x
  2. Step 2: Convert to fraction form
    218,932/471,627 = 471,627/x
  3. Step 3: Cross multiply
    218,932x = 471,627 × 471,627
  4. Step 4: Simplify right side
    218,932x = 222,432,027,129
  5. Step 5: Solve for x
    x = 222,432,027,129/218,932
  6. Step 6: Final answer
    x = 1,015,986.82

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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.