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Finding the Third Proportional to 29.81 and 77.91

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Solution

The third proportional to 29.81 and 77.91 is: 203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.81 : 77.91 = 77.91 : x
  2. Step 2: Convert to fraction form
    29.81/77.91 = 77.91/x
  3. Step 3: Cross multiply
    29.81x = 77.91 × 77.91
  4. Step 4: Simplify right side
    29.81x = 6,069.38
  5. Step 5: Solve for x
    x = 6,069.38/29.81
  6. Step 6: Final answer
    x = 203.59

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.