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Finding the Third Proportional to 179.69 and 289.22

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Solution

The third proportional to 179.69 and 289.22 is: 465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.69 : 289.22 = 289.22 : x
  2. Step 2: Convert to fraction form
    179.69/289.22 = 289.22/x
  3. Step 3: Cross multiply
    179.69x = 289.22 × 289.22
  4. Step 4: Simplify right side
    179.69x = 83,647.49
  5. Step 5: Solve for x
    x = 83,647.49/179.69
  6. Step 6: Final answer
    x = 465.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.