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Finding the Third Proportional to 60.94 and 81.89

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Solution

The third proportional to 60.94 and 81.89 is: 110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.94 : 81.89 = 81.89 : x
  2. Step 2: Convert to fraction form
    60.94/81.89 = 81.89/x
  3. Step 3: Cross multiply
    60.94x = 81.89 × 81.89
  4. Step 4: Simplify right side
    60.94x = 6,706.07
  5. Step 5: Solve for x
    x = 6,706.07/60.94
  6. Step 6: Final answer
    x = 110.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.