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Finding the Third Proportional to 35.95 and 81.87

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Solution

The third proportional to 35.95 and 81.87 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.95 : 81.87 = 81.87 : x
  2. Step 2: Convert to fraction form
    35.95/81.87 = 81.87/x
  3. Step 3: Cross multiply
    35.95x = 81.87 × 81.87
  4. Step 4: Simplify right side
    35.95x = 6,702.72
  5. Step 5: Solve for x
    x = 6,702.72/35.95
  6. Step 6: Final answer
    x = 186.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.