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Finding the Third Proportional to 68.19 and 102.56

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Solution

The third proportional to 68.19 and 102.56 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 102.56 = 102.56 : x
  2. Step 2: Convert to fraction form
    68.19/102.56 = 102.56/x
  3. Step 3: Cross multiply
    68.19x = 102.56 × 102.56
  4. Step 4: Simplify right side
    68.19x = 10,519.07
  5. Step 5: Solve for x
    x = 10,519.07/68.19
  6. Step 6: Final answer
    x = 154.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.