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Finding the Third Proportional to 221,890.50 and 479,265

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Solution

The third proportional to 221,890.50 and 479,265 is: 1,035,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,890.50 : 479,265 = 479,265 : x
  2. Step 2: Convert to fraction form
    221,890.50/479,265 = 479,265/x
  3. Step 3: Cross multiply
    221,890.50x = 479,265 × 479,265
  4. Step 4: Simplify right side
    221,890.50x = 229,694,940,225
  5. Step 5: Solve for x
    x = 229,694,940,225/221,890.50
  6. Step 6: Final answer
    x = 1,035,172.48

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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.