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Finding the Third Proportional to 100,059 and 221,121

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Solution

The third proportional to 100,059 and 221,121 is: 488,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,059 : 221,121 = 221,121 : x
  2. Step 2: Convert to fraction form
    100,059/221,121 = 221,121/x
  3. Step 3: Cross multiply
    100,059x = 221,121 × 221,121
  4. Step 4: Simplify right side
    100,059x = 48,894,496,641
  5. Step 5: Solve for x
    x = 48,894,496,641/100,059
  6. Step 6: Final answer
    x = 488,656.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.