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Finding the Third Proportional to 105,867 and 220,446

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Solution

The third proportional to 105,867 and 220,446 is: 459,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,867 : 220,446 = 220,446 : x
  2. Step 2: Convert to fraction form
    105,867/220,446 = 220,446/x
  3. Step 3: Cross multiply
    105,867x = 220,446 × 220,446
  4. Step 4: Simplify right side
    105,867x = 48,596,438,916
  5. Step 5: Solve for x
    x = 48,596,438,916/105,867
  6. Step 6: Final answer
    x = 459,032.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.