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Finding the Third Proportional to 75.13 and 163.09

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Solution

The third proportional to 75.13 and 163.09 is: 354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.13 : 163.09 = 163.09 : x
  2. Step 2: Convert to fraction form
    75.13/163.09 = 163.09/x
  3. Step 3: Cross multiply
    75.13x = 163.09 × 163.09
  4. Step 4: Simplify right side
    75.13x = 26,598.30
  5. Step 5: Solve for x
    x = 26,598.30/75.13
  6. Step 6: Final answer
    x = 354.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.