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Finding the Third Proportional to 69.94 and 91.06

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Solution

The third proportional to 69.94 and 91.06 is: 118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.94 : 91.06 = 91.06 : x
  2. Step 2: Convert to fraction form
    69.94/91.06 = 91.06/x
  3. Step 3: Cross multiply
    69.94x = 91.06 × 91.06
  4. Step 4: Simplify right side
    69.94x = 8,292.38
  5. Step 5: Solve for x
    x = 8,292.38/69.94
  6. Step 6: Final answer
    x = 118.57

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.