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Finding the Third Proportional to 165,978 and 251,473.50

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Solution

The third proportional to 165,978 and 251,473.50 is: 381,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,978 : 251,473.50 = 251,473.50 : x
  2. Step 2: Convert to fraction form
    165,978/251,473.50 = 251,473.50/x
  3. Step 3: Cross multiply
    165,978x = 251,473.50 × 251,473.50
  4. Step 4: Simplify right side
    165,978x = 63,238,921,202.25
  5. Step 5: Solve for x
    x = 63,238,921,202.25/165,978
  6. Step 6: Final answer
    x = 381,007.85

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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.