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Finding the Third Proportional to 36,247 and 74,981

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Solution

The third proportional to 36,247 and 74,981 is: 155,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,247 : 74,981 = 74,981 : x
  2. Step 2: Convert to fraction form
    36,247/74,981 = 74,981/x
  3. Step 3: Cross multiply
    36,247x = 74,981 × 74,981
  4. Step 4: Simplify right side
    36,247x = 5,622,150,361
  5. Step 5: Solve for x
    x = 5,622,150,361/36,247
  6. Step 6: Final answer
    x = 155,106.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.