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Finding the Third Proportional to 101,982 and 220,911

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Solution

The third proportional to 101,982 and 220,911 is: 478,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,982 : 220,911 = 220,911 : x
  2. Step 2: Convert to fraction form
    101,982/220,911 = 220,911/x
  3. Step 3: Cross multiply
    101,982x = 220,911 × 220,911
  4. Step 4: Simplify right side
    101,982x = 48,801,669,921
  5. Step 5: Solve for x
    x = 48,801,669,921/101,982
  6. Step 6: Final answer
    x = 478,532.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.