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Finding the Third Proportional to 100,821 and 220,109

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Solution

The third proportional to 100,821 and 220,109 is: 480,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821 : 220,109 = 220,109 : x
  2. Step 2: Convert to fraction form
    100,821/220,109 = 220,109/x
  3. Step 3: Cross multiply
    100,821x = 220,109 × 220,109
  4. Step 4: Simplify right side
    100,821x = 48,447,971,881
  5. Step 5: Solve for x
    x = 48,447,971,881/100,821
  6. Step 6: Final answer
    x = 480,534.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.