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Finding the Third Proportional to 213,845.06 and 298,969.73

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Solution

The third proportional to 213,845.06 and 298,969.73 is: 417,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,845.06 : 298,969.73 = 298,969.73 : x
  2. Step 2: Convert to fraction form
    213,845.06/298,969.73 = 298,969.73/x
  3. Step 3: Cross multiply
    213,845.06x = 298,969.73 × 298,969.73
  4. Step 4: Simplify right side
    213,845.06x = 89,382,902,072.26
  5. Step 5: Solve for x
    x = 89,382,902,072.26/213,845.06
  6. Step 6: Final answer
    x = 417,979.73

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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.