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Finding the Third Proportional to 76.57 and 159.63

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Solution

The third proportional to 76.57 and 159.63 is: 332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 159.63 = 159.63 : x
  2. Step 2: Convert to fraction form
    76.57/159.63 = 159.63/x
  3. Step 3: Cross multiply
    76.57x = 159.63 × 159.63
  4. Step 4: Simplify right side
    76.57x = 25,480.76
  5. Step 5: Solve for x
    x = 25,480.76/76.57
  6. Step 6: Final answer
    x = 332.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.