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Finding the Third Proportional to 36,418 and 55,939

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Solution

The third proportional to 36,418 and 55,939 is: 85,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,418 : 55,939 = 55,939 : x
  2. Step 2: Convert to fraction form
    36,418/55,939 = 55,939/x
  3. Step 3: Cross multiply
    36,418x = 55,939 × 55,939
  4. Step 4: Simplify right side
    36,418x = 3,129,171,721
  5. Step 5: Solve for x
    x = 3,129,171,721/36,418
  6. Step 6: Final answer
    x = 85,923.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.