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Finding the Third Proportional to 98.75 and 109.75

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Solution

The third proportional to 98.75 and 109.75 is: 121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 109.75 = 109.75 : x
  2. Step 2: Convert to fraction form
    98.75/109.75 = 109.75/x
  3. Step 3: Cross multiply
    98.75x = 109.75 × 109.75
  4. Step 4: Simplify right side
    98.75x = 12,045.06
  5. Step 5: Solve for x
    x = 12,045.06/98.75
  6. Step 6: Final answer
    x = 121.98

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.