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Finding the Third Proportional to 133.84 and 291.95

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Solution

The third proportional to 133.84 and 291.95 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.84 : 291.95 = 291.95 : x
  2. Step 2: Convert to fraction form
    133.84/291.95 = 291.95/x
  3. Step 3: Cross multiply
    133.84x = 291.95 × 291.95
  4. Step 4: Simplify right side
    133.84x = 85,236.63
  5. Step 5: Solve for x
    x = 85,236.63/133.84
  6. Step 6: Final answer
    x = 636.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.