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Finding the Third Proportional to 65.94 and 138.84

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Solution

The third proportional to 65.94 and 138.84 is: 292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 138.84 = 138.84 : x
  2. Step 2: Convert to fraction form
    65.94/138.84 = 138.84/x
  3. Step 3: Cross multiply
    65.94x = 138.84 × 138.84
  4. Step 4: Simplify right side
    65.94x = 19,277.59
  5. Step 5: Solve for x
    x = 19,277.59/65.94
  6. Step 6: Final answer
    x = 292.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.