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Finding the Third Proportional to 69.12 and 98.23

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Solution

The third proportional to 69.12 and 98.23 is: 139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 98.23 = 98.23 : x
  2. Step 2: Convert to fraction form
    69.12/98.23 = 98.23/x
  3. Step 3: Cross multiply
    69.12x = 98.23 × 98.23
  4. Step 4: Simplify right side
    69.12x = 9,648.46
  5. Step 5: Solve for x
    x = 9,648.46/69.12
  6. Step 6: Final answer
    x = 139.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.