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Finding the Third Proportional to 135.25 and 216.13

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Solution

The third proportional to 135.25 and 216.13 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 216.13 = 216.13 : x
  2. Step 2: Convert to fraction form
    135.25/216.13 = 216.13/x
  3. Step 3: Cross multiply
    135.25x = 216.13 × 216.13
  4. Step 4: Simplify right side
    135.25x = 46,710.02
  5. Step 5: Solve for x
    x = 46,710.02/135.25
  6. Step 6: Final answer
    x = 345.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.