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Finding the Third Proportional to 64,980 and 135,067.50

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Solution

The third proportional to 64,980 and 135,067.50 is: 280,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980 : 135,067.50 = 135,067.50 : x
  2. Step 2: Convert to fraction form
    64,980/135,067.50 = 135,067.50/x
  3. Step 3: Cross multiply
    64,980x = 135,067.50 × 135,067.50
  4. Step 4: Simplify right side
    64,980x = 18,243,229,556.25
  5. Step 5: Solve for x
    x = 18,243,229,556.25/64,980
  6. Step 6: Final answer
    x = 280,751.46

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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.