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Finding the Third Proportional to 100,817 and 220,081

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Solution

The third proportional to 100,817 and 220,081 is: 480,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,817 : 220,081 = 220,081 : x
  2. Step 2: Convert to fraction form
    100,817/220,081 = 220,081/x
  3. Step 3: Cross multiply
    100,817x = 220,081 × 220,081
  4. Step 4: Simplify right side
    100,817x = 48,435,646,561
  5. Step 5: Solve for x
    x = 48,435,646,561/100,817
  6. Step 6: Final answer
    x = 480,431.34

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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.