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Finding the Third Proportional to 100,562 and 221,212

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Solution

The third proportional to 100,562 and 221,212 is: 486,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,562 : 221,212 = 221,212 : x
  2. Step 2: Convert to fraction form
    100,562/221,212 = 221,212/x
  3. Step 3: Cross multiply
    100,562x = 221,212 × 221,212
  4. Step 4: Simplify right side
    100,562x = 48,934,748,944
  5. Step 5: Solve for x
    x = 48,934,748,944/100,562
  6. Step 6: Final answer
    x = 486,612.73

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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.