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Finding the Third Proportional to 69 and 98.25

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Solution

The third proportional to 69 and 98.25 is: 139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 98.25 = 98.25 : x
  2. Step 2: Convert to fraction form
    69/98.25 = 98.25/x
  3. Step 3: Cross multiply
    69x = 98.25 × 98.25
  4. Step 4: Simplify right side
    69x = 9,653.06
  5. Step 5: Solve for x
    x = 9,653.06/69
  6. Step 6: Final answer
    x = 139.90

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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.