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Finding the Third Proportional to 75.30 and 163.42

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Solution

The third proportional to 75.30 and 163.42 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 163.42 = 163.42 : x
  2. Step 2: Convert to fraction form
    75.30/163.42 = 163.42/x
  3. Step 3: Cross multiply
    75.30x = 163.42 × 163.42
  4. Step 4: Simplify right side
    75.30x = 26,707.35
  5. Step 5: Solve for x
    x = 26,707.35/75.30
  6. Step 6: Final answer
    x = 354.66

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Why These Related Problems?

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