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Finding the Third Proportional to 218,417 and 477,241

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Solution

The third proportional to 218,417 and 477,241 is: 1,042,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,417 : 477,241 = 477,241 : x
  2. Step 2: Convert to fraction form
    218,417/477,241 = 477,241/x
  3. Step 3: Cross multiply
    218,417x = 477,241 × 477,241
  4. Step 4: Simplify right side
    218,417x = 227,758,972,081
  5. Step 5: Solve for x
    x = 227,758,972,081/218,417
  6. Step 6: Final answer
    x = 1,042,771.27

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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.