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Finding the Third Proportional to 73.76 and 158.70

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Solution

The third proportional to 73.76 and 158.70 is: 341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 158.70 = 158.70 : x
  2. Step 2: Convert to fraction form
    73.76/158.70 = 158.70/x
  3. Step 3: Cross multiply
    73.76x = 158.70 × 158.70
  4. Step 4: Simplify right side
    73.76x = 25,184.20
  5. Step 5: Solve for x
    x = 25,184.20/73.76
  6. Step 6: Final answer
    x = 341.44

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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.