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Finding the Third Proportional to 684.13 and 996.25

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Solution

The third proportional to 684.13 and 996.25 is: 1,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.13 : 996.25 = 996.25 : x
  2. Step 2: Convert to fraction form
    684.13/996.25 = 996.25/x
  3. Step 3: Cross multiply
    684.13x = 996.25 × 996.25
  4. Step 4: Simplify right side
    684.13x = 992,514.06
  5. Step 5: Solve for x
    x = 992,514.06/684.13
  6. Step 6: Final answer
    x = 1,450.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.