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Finding the Third Proportional to 103.13 and 111.84

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Solution

The third proportional to 103.13 and 111.84 is: 121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 111.84 = 111.84 : x
  2. Step 2: Convert to fraction form
    103.13/111.84 = 111.84/x
  3. Step 3: Cross multiply
    103.13x = 111.84 × 111.84
  4. Step 4: Simplify right side
    103.13x = 12,509.02
  5. Step 5: Solve for x
    x = 12,509.02/103.13
  6. Step 6: Final answer
    x = 121.30

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.