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Finding the Third Proportional to 101,978 and 220,906

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Solution

The third proportional to 101,978 and 220,906 is: 478,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978 : 220,906 = 220,906 : x
  2. Step 2: Convert to fraction form
    101,978/220,906 = 220,906/x
  3. Step 3: Cross multiply
    101,978x = 220,906 × 220,906
  4. Step 4: Simplify right side
    101,978x = 48,799,460,836
  5. Step 5: Solve for x
    x = 48,799,460,836/101,978
  6. Step 6: Final answer
    x = 478,529.30

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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.