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Finding the Third Proportional to 100,881 and 221,353

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Solution

The third proportional to 100,881 and 221,353 is: 485,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,881 : 221,353 = 221,353 : x
  2. Step 2: Convert to fraction form
    100,881/221,353 = 221,353/x
  3. Step 3: Cross multiply
    100,881x = 221,353 × 221,353
  4. Step 4: Simplify right side
    100,881x = 48,997,150,609
  5. Step 5: Solve for x
    x = 48,997,150,609/100,881
  6. Step 6: Final answer
    x = 485,692.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.