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Finding the Third Proportional to 221,986 and 479,441

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Solution

The third proportional to 221,986 and 479,441 is: 1,035,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,986 : 479,441 = 479,441 : x
  2. Step 2: Convert to fraction form
    221,986/479,441 = 479,441/x
  3. Step 3: Cross multiply
    221,986x = 479,441 × 479,441
  4. Step 4: Simplify right side
    221,986x = 229,863,672,481
  5. Step 5: Solve for x
    x = 229,863,672,481/221,986
  6. Step 6: Final answer
    x = 1,035,487.25

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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.