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Finding the Third Proportional to 131.72 and 199.36

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Solution

The third proportional to 131.72 and 199.36 is: 301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.72 : 199.36 = 199.36 : x
  2. Step 2: Convert to fraction form
    131.72/199.36 = 199.36/x
  3. Step 3: Cross multiply
    131.72x = 199.36 × 199.36
  4. Step 4: Simplify right side
    131.72x = 39,744.16
  5. Step 5: Solve for x
    x = 39,744.16/131.72
  6. Step 6: Final answer
    x = 301.74

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