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Finding the Third Proportional to 3.80 and 26.58

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Solution

The third proportional to 3.80 and 26.58 is: 186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 26.58 = 26.58 : x
  2. Step 2: Convert to fraction form
    3.80/26.58 = 26.58/x
  3. Step 3: Cross multiply
    3.80x = 26.58 × 26.58
  4. Step 4: Simplify right side
    3.80x = 706.40
  5. Step 5: Solve for x
    x = 706.40/3.80
  6. Step 6: Final answer
    x = 186.05

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Why These Related Problems?

These problems maintain the same ratio (7) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.