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Finding the Third Proportional to 72.98 and 92.18

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Solution

The third proportional to 72.98 and 92.18 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.98 : 92.18 = 92.18 : x
  2. Step 2: Convert to fraction form
    72.98/92.18 = 92.18/x
  3. Step 3: Cross multiply
    72.98x = 92.18 × 92.18
  4. Step 4: Simplify right side
    72.98x = 8,497.09
  5. Step 5: Solve for x
    x = 8,497.09/72.98
  6. Step 6: Final answer
    x = 116.42

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.