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Finding the Third Proportional to 75.94 and 102.36

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Solution

The third proportional to 75.94 and 102.36 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 102.36 = 102.36 : x
  2. Step 2: Convert to fraction form
    75.94/102.36 = 102.36/x
  3. Step 3: Cross multiply
    75.94x = 102.36 × 102.36
  4. Step 4: Simplify right side
    75.94x = 10,477.04
  5. Step 5: Solve for x
    x = 10,477.04/75.94
  6. Step 6: Final answer
    x = 137.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.