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Finding the Third Proportional to 35.48 and 81.80

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Solution

The third proportional to 35.48 and 81.80 is: 188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.48 : 81.80 = 81.80 : x
  2. Step 2: Convert to fraction form
    35.48/81.80 = 81.80/x
  3. Step 3: Cross multiply
    35.48x = 81.80 × 81.80
  4. Step 4: Simplify right side
    35.48x = 6,690.73
  5. Step 5: Solve for x
    x = 6,690.73/35.48
  6. Step 6: Final answer
    x = 188.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.