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Finding the Third Proportional to 73.80 and 158.76

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Solution

The third proportional to 73.80 and 158.76 is: 341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.80 : 158.76 = 158.76 : x
  2. Step 2: Convert to fraction form
    73.80/158.76 = 158.76/x
  3. Step 3: Cross multiply
    73.80x = 158.76 × 158.76
  4. Step 4: Simplify right side
    73.80x = 25,203.73
  5. Step 5: Solve for x
    x = 25,203.73/73.80
  6. Step 6: Final answer
    x = 341.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.