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Finding the Third Proportional to 68.25 and 133.06

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Solution

The third proportional to 68.25 and 133.06 is: 259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 133.06 = 133.06 : x
  2. Step 2: Convert to fraction form
    68.25/133.06 = 133.06/x
  3. Step 3: Cross multiply
    68.25x = 133.06 × 133.06
  4. Step 4: Simplify right side
    68.25x = 17,705.63
  5. Step 5: Solve for x
    x = 17,705.63/68.25
  6. Step 6: Final answer
    x = 259.42

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.