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Finding the Third Proportional to 221,330 and 474,919

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Solution

The third proportional to 221,330 and 474,919 is: 1,019,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,330 : 474,919 = 474,919 : x
  2. Step 2: Convert to fraction form
    221,330/474,919 = 474,919/x
  3. Step 3: Cross multiply
    221,330x = 474,919 × 474,919
  4. Step 4: Simplify right side
    221,330x = 225,548,056,561
  5. Step 5: Solve for x
    x = 225,548,056,561/221,330
  6. Step 6: Final answer
    x = 1,019,057.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.