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Finding the Third Proportional to 100,565 and 221,218

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Solution

The third proportional to 100,565 and 221,218 is: 486,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565 : 221,218 = 221,218 : x
  2. Step 2: Convert to fraction form
    100,565/221,218 = 221,218/x
  3. Step 3: Cross multiply
    100,565x = 221,218 × 221,218
  4. Step 4: Simplify right side
    100,565x = 48,937,403,524
  5. Step 5: Solve for x
    x = 48,937,403,524/100,565
  6. Step 6: Final answer
    x = 486,624.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.