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Finding the Third Proportional to 36.07 and 76.99

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Solution

The third proportional to 36.07 and 76.99 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 76.99 = 76.99 : x
  2. Step 2: Convert to fraction form
    36.07/76.99 = 76.99/x
  3. Step 3: Cross multiply
    36.07x = 76.99 × 76.99
  4. Step 4: Simplify right side
    36.07x = 5,927.80
  5. Step 5: Solve for x
    x = 5,927.80/36.07
  6. Step 6: Final answer
    x = 164.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.