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Finding the Third Proportional to 684.56 and 998.44

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Solution

The third proportional to 684.56 and 998.44 is: 1,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 998.44 = 998.44 : x
  2. Step 2: Convert to fraction form
    684.56/998.44 = 998.44/x
  3. Step 3: Cross multiply
    684.56x = 998.44 × 998.44
  4. Step 4: Simplify right side
    684.56x = 996,877.44
  5. Step 5: Solve for x
    x = 996,877.44/684.56
  6. Step 6: Final answer
    x = 1,456.23

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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.