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Finding the Third Proportional to 75.66 and 179.16

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Solution

The third proportional to 75.66 and 179.16 is: 424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 179.16 = 179.16 : x
  2. Step 2: Convert to fraction form
    75.66/179.16 = 179.16/x
  3. Step 3: Cross multiply
    75.66x = 179.16 × 179.16
  4. Step 4: Simplify right side
    75.66x = 32,096.96
  5. Step 5: Solve for x
    x = 32,096.96/75.66
  6. Step 6: Final answer
    x = 424.25

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.