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Finding the Third Proportional to 68.55 and 96.40

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Solution

The third proportional to 68.55 and 96.40 is: 135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 96.40 = 96.40 : x
  2. Step 2: Convert to fraction form
    68.55/96.40 = 96.40/x
  3. Step 3: Cross multiply
    68.55x = 96.40 × 96.40
  4. Step 4: Simplify right side
    68.55x = 9,292.66
  5. Step 5: Solve for x
    x = 9,292.66/68.55
  6. Step 6: Final answer
    x = 135.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.