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Finding the Third Proportional to 316.83 and 674.37

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Solution

The third proportional to 316.83 and 674.37 is: 1,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.83 : 674.37 = 674.37 : x
  2. Step 2: Convert to fraction form
    316.83/674.37 = 674.37/x
  3. Step 3: Cross multiply
    316.83x = 674.37 × 674.37
  4. Step 4: Simplify right side
    316.83x = 454,771.10
  5. Step 5: Solve for x
    x = 454,771.10/316.83
  6. Step 6: Final answer
    x = 1,435.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.