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Finding the Third Proportional to 36,820 and 55,138

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Solution

The third proportional to 36,820 and 55,138 is: 82,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820 : 55,138 = 55,138 : x
  2. Step 2: Convert to fraction form
    36,820/55,138 = 55,138/x
  3. Step 3: Cross multiply
    36,820x = 55,138 × 55,138
  4. Step 4: Simplify right side
    36,820x = 3,040,199,044
  5. Step 5: Solve for x
    x = 3,040,199,044/36,820
  6. Step 6: Final answer
    x = 82,569.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.