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Finding the Third Proportional to 221,406 and 352,474

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Solution

The third proportional to 221,406 and 352,474 is: 561,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,406 : 352,474 = 352,474 : x
  2. Step 2: Convert to fraction form
    221,406/352,474 = 352,474/x
  3. Step 3: Cross multiply
    221,406x = 352,474 × 352,474
  4. Step 4: Simplify right side
    221,406x = 124,237,920,676
  5. Step 5: Solve for x
    x = 124,237,920,676/221,406
  6. Step 6: Final answer
    x = 561,131.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.