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Finding the Third Proportional to 72.84 and 81.98

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Solution

The third proportional to 72.84 and 81.98 is: 92.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 81.98 = 81.98 : x
  2. Step 2: Convert to fraction form
    72.84/81.98 = 81.98/x
  3. Step 3: Cross multiply
    72.84x = 81.98 × 81.98
  4. Step 4: Simplify right side
    72.84x = 6,721.44
  5. Step 5: Solve for x
    x = 6,721.44/72.84
  6. Step 6: Final answer
    x = 92.27

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.