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Finding the Third Proportional to 331.45 and 723.66

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Solution

The third proportional to 331.45 and 723.66 is: 1,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.45 : 723.66 = 723.66 : x
  2. Step 2: Convert to fraction form
    331.45/723.66 = 723.66/x
  3. Step 3: Cross multiply
    331.45x = 723.66 × 723.66
  4. Step 4: Simplify right side
    331.45x = 523,678.37
  5. Step 5: Solve for x
    x = 523,678.37/331.45
  6. Step 6: Final answer
    x = 1,579.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.