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Finding the Third Proportional to 35.65 and 84.06

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Solution

The third proportional to 35.65 and 84.06 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.65 : 84.06 = 84.06 : x
  2. Step 2: Convert to fraction form
    35.65/84.06 = 84.06/x
  3. Step 3: Cross multiply
    35.65x = 84.06 × 84.06
  4. Step 4: Simplify right side
    35.65x = 7,065.85
  5. Step 5: Solve for x
    x = 7,065.85/35.65
  6. Step 6: Final answer
    x = 198.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.