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Finding the Third Proportional to 65.81 and 135.74

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Solution

The third proportional to 65.81 and 135.74 is: 279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 135.74 = 135.74 : x
  2. Step 2: Convert to fraction form
    65.81/135.74 = 135.74/x
  3. Step 3: Cross multiply
    65.81x = 135.74 × 135.74
  4. Step 4: Simplify right side
    65.81x = 18,424.88
  5. Step 5: Solve for x
    x = 18,424.88/65.81
  6. Step 6: Final answer
    x = 279.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.