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Finding the Third Proportional to 131.35 and 198.62

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Solution

The third proportional to 131.35 and 198.62 is: 300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.35 : 198.62 = 198.62 : x
  2. Step 2: Convert to fraction form
    131.35/198.62 = 198.62/x
  3. Step 3: Cross multiply
    131.35x = 198.62 × 198.62
  4. Step 4: Simplify right side
    131.35x = 39,451.50
  5. Step 5: Solve for x
    x = 39,451.50/131.35
  6. Step 6: Final answer
    x = 300.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.