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Finding the Third Proportional to 100,842 and 220,158

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Solution

The third proportional to 100,842 and 220,158 is: 480,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842 : 220,158 = 220,158 : x
  2. Step 2: Convert to fraction form
    100,842/220,158 = 220,158/x
  3. Step 3: Cross multiply
    100,842x = 220,158 × 220,158
  4. Step 4: Simplify right side
    100,842x = 48,469,544,964
  5. Step 5: Solve for x
    x = 48,469,544,964/100,842
  6. Step 6: Final answer
    x = 480,648.39

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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.