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Finding the Third Proportional to 36.84 and 79.45

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Solution

The third proportional to 36.84 and 79.45 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.84 : 79.45 = 79.45 : x
  2. Step 2: Convert to fraction form
    36.84/79.45 = 79.45/x
  3. Step 3: Cross multiply
    36.84x = 79.45 × 79.45
  4. Step 4: Simplify right side
    36.84x = 6,312.80
  5. Step 5: Solve for x
    x = 6,312.80/36.84
  6. Step 6: Final answer
    x = 171.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.