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Finding the Third Proportional to 135.26 and 208.95

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Solution

The third proportional to 135.26 and 208.95 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 208.95 = 208.95 : x
  2. Step 2: Convert to fraction form
    135.26/208.95 = 208.95/x
  3. Step 3: Cross multiply
    135.26x = 208.95 × 208.95
  4. Step 4: Simplify right side
    135.26x = 43,658.76
  5. Step 5: Solve for x
    x = 43,658.76/135.26
  6. Step 6: Final answer
    x = 322.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.