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Finding the Third Proportional to 36,974 and 81,328

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Solution

The third proportional to 36,974 and 81,328 is: 178,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,974 : 81,328 = 81,328 : x
  2. Step 2: Convert to fraction form
    36,974/81,328 = 81,328/x
  3. Step 3: Cross multiply
    36,974x = 81,328 × 81,328
  4. Step 4: Simplify right side
    36,974x = 6,614,243,584
  5. Step 5: Solve for x
    x = 6,614,243,584/36,974
  6. Step 6: Final answer
    x = 178,889.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.