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Finding the Third Proportional to 221,321 and 474,199

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Solution

The third proportional to 221,321 and 474,199 is: 1,016,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,321 : 474,199 = 474,199 : x
  2. Step 2: Convert to fraction form
    221,321/474,199 = 474,199/x
  3. Step 3: Cross multiply
    221,321x = 474,199 × 474,199
  4. Step 4: Simplify right side
    221,321x = 224,864,691,601
  5. Step 5: Solve for x
    x = 224,864,691,601/221,321
  6. Step 6: Final answer
    x = 1,016,011.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.