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Finding the Third Proportional to 69.06 and 99.86

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Solution

The third proportional to 69.06 and 99.86 is: 144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.06 : 99.86 = 99.86 : x
  2. Step 2: Convert to fraction form
    69.06/99.86 = 99.86/x
  3. Step 3: Cross multiply
    69.06x = 99.86 × 99.86
  4. Step 4: Simplify right side
    69.06x = 9,971.11
  5. Step 5: Solve for x
    x = 9,971.11/69.06
  6. Step 6: Final answer
    x = 144.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.