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Finding the Third Proportional to 221,512 and 520,048

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Solution

The third proportional to 221,512 and 520,048 is: 1,220,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,512 : 520,048 = 520,048 : x
  2. Step 2: Convert to fraction form
    221,512/520,048 = 520,048/x
  3. Step 3: Cross multiply
    221,512x = 520,048 × 520,048
  4. Step 4: Simplify right side
    221,512x = 270,449,922,304
  5. Step 5: Solve for x
    x = 270,449,922,304/221,512
  6. Step 6: Final answer
    x = 1,220,926.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.