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Finding the Third Proportional to 75.50 and 102.06

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Solution

The third proportional to 75.50 and 102.06 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.50 : 102.06 = 102.06 : x
  2. Step 2: Convert to fraction form
    75.50/102.06 = 102.06/x
  3. Step 3: Cross multiply
    75.50x = 102.06 × 102.06
  4. Step 4: Simplify right side
    75.50x = 10,416.75
  5. Step 5: Solve for x
    x = 10,416.75/75.50
  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.