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Finding the Third Proportional to 213,853.50 and 298,979.25

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Solution

The third proportional to 213,853.50 and 298,979.25 is: 417,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,853.50 : 298,979.25 = 298,979.25 : x
  2. Step 2: Convert to fraction form
    213,853.50/298,979.25 = 298,979.25/x
  3. Step 3: Cross multiply
    213,853.50x = 298,979.25 × 298,979.25
  4. Step 4: Simplify right side
    213,853.50x = 89,388,591,930.56
  5. Step 5: Solve for x
    x = 89,388,591,930.56/213,853.50
  6. Step 6: Final answer
    x = 417,989.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.