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Finding the Third Proportional to 218,741 and 477,010

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Solution

The third proportional to 218,741 and 477,010 is: 1,040,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,741 : 477,010 = 477,010 : x
  2. Step 2: Convert to fraction form
    218,741/477,010 = 477,010/x
  3. Step 3: Cross multiply
    218,741x = 477,010 × 477,010
  4. Step 4: Simplify right side
    218,741x = 227,538,540,100
  5. Step 5: Solve for x
    x = 227,538,540,100/218,741
  6. Step 6: Final answer
    x = 1,040,218.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.