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Finding the Third Proportional to 68.88 and 91.30

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Solution

The third proportional to 68.88 and 91.30 is: 121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 91.30 = 91.30 : x
  2. Step 2: Convert to fraction form
    68.88/91.30 = 91.30/x
  3. Step 3: Cross multiply
    68.88x = 91.30 × 91.30
  4. Step 4: Simplify right side
    68.88x = 8,336.23
  5. Step 5: Solve for x
    x = 8,336.23/68.88
  6. Step 6: Final answer
    x = 121.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.