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Finding the Third Proportional to 221,350 and 449,288

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Solution

The third proportional to 221,350 and 449,288 is: 911,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,350 : 449,288 = 449,288 : x
  2. Step 2: Convert to fraction form
    221,350/449,288 = 449,288/x
  3. Step 3: Cross multiply
    221,350x = 449,288 × 449,288
  4. Step 4: Simplify right side
    221,350x = 201,859,706,944
  5. Step 5: Solve for x
    x = 201,859,706,944/221,350
  6. Step 6: Final answer
    x = 911,948.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.