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Finding the Third Proportional to 35.51 and 55.17

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Solution

The third proportional to 35.51 and 55.17 is: 85.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.51 : 55.17 = 55.17 : x
  2. Step 2: Convert to fraction form
    35.51/55.17 = 55.17/x
  3. Step 3: Cross multiply
    35.51x = 55.17 × 55.17
  4. Step 4: Simplify right side
    35.51x = 3,043.70
  5. Step 5: Solve for x
    x = 3,043.70/35.51
  6. Step 6: Final answer
    x = 85.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.