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Finding the Third Proportional to 36,289 and 54,980

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Solution

The third proportional to 36,289 and 54,980 is: 83,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,289 : 54,980 = 54,980 : x
  2. Step 2: Convert to fraction form
    36,289/54,980 = 54,980/x
  3. Step 3: Cross multiply
    36,289x = 54,980 × 54,980
  4. Step 4: Simplify right side
    36,289x = 3,022,800,400
  5. Step 5: Solve for x
    x = 3,022,800,400/36,289
  6. Step 6: Final answer
    x = 83,297.98

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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.