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Finding the Third Proportional to 75.16 and 163.05

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Solution

The third proportional to 75.16 and 163.05 is: 353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.16 : 163.05 = 163.05 : x
  2. Step 2: Convert to fraction form
    75.16/163.05 = 163.05/x
  3. Step 3: Cross multiply
    75.16x = 163.05 × 163.05
  4. Step 4: Simplify right side
    75.16x = 26,586.83
  5. Step 5: Solve for x
    x = 26,586.83/75.16
  6. Step 6: Final answer
    x = 353.72

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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.