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Finding the Third Proportional to 165,990 and 251,489.25

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Solution

The third proportional to 165,990 and 251,489.25 is: 381,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,990 : 251,489.25 = 251,489.25 : x
  2. Step 2: Convert to fraction form
    165,990/251,489.25 = 251,489.25/x
  3. Step 3: Cross multiply
    165,990x = 251,489.25 × 251,489.25
  4. Step 4: Simplify right side
    165,990x = 63,246,842,865.56
  5. Step 5: Solve for x
    x = 63,246,842,865.56/165,990
  6. Step 6: Final answer
    x = 381,028.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.