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Finding the Third Proportional to 131.60 and 199.05

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Solution

The third proportional to 131.60 and 199.05 is: 301.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 199.05 = 199.05 : x
  2. Step 2: Convert to fraction form
    131.60/199.05 = 199.05/x
  3. Step 3: Cross multiply
    131.60x = 199.05 × 199.05
  4. Step 4: Simplify right side
    131.60x = 39,622.77
  5. Step 5: Solve for x
    x = 39,622.77/131.60
  6. Step 6: Final answer
    x = 301.08

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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.