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Finding the Third Proportional to 76 and 176

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Solution

The third proportional to 76 and 176 is: 407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 176 = 176 : x
  2. Step 2: Convert to fraction form
    76/176 = 176/x
  3. Step 3: Cross multiply
    76x = 176 × 176
  4. Step 4: Simplify right side
    76x = 30,976
  5. Step 5: Solve for x
    x = 30,976/76
  6. Step 6: Final answer
    x = 407.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.