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Finding the Third Proportional to 393,889.50 and 864,067.50

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Solution

The third proportional to 393,889.50 and 864,067.50 is: 1,895,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,889.50 : 864,067.50 = 864,067.50 : x
  2. Step 2: Convert to fraction form
    393,889.50/864,067.50 = 864,067.50/x
  3. Step 3: Cross multiply
    393,889.50x = 864,067.50 × 864,067.50
  4. Step 4: Simplify right side
    393,889.50x = 746,612,644,556.25
  5. Step 5: Solve for x
    x = 746,612,644,556.25/393,889.50
  6. Step 6: Final answer
    x = 1,895,487.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.