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Finding the Third Proportional to 213,757.13 and 300,645.38

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Solution

The third proportional to 213,757.13 and 300,645.38 is: 422,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,757.13 : 300,645.38 = 300,645.38 : x
  2. Step 2: Convert to fraction form
    213,757.13/300,645.38 = 300,645.38/x
  3. Step 3: Cross multiply
    213,757.13x = 300,645.38 × 300,645.38
  4. Step 4: Simplify right side
    213,757.13x = 90,387,641,508.89
  5. Step 5: Solve for x
    x = 90,387,641,508.89/213,757.13
  6. Step 6: Final answer
    x = 422,852.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.