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Finding the Third Proportional to 378,209.25 and 819,416.25

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Solution

The third proportional to 378,209.25 and 819,416.25 is: 1,775,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,209.25 : 819,416.25 = 819,416.25 : x
  2. Step 2: Convert to fraction form
    378,209.25/819,416.25 = 819,416.25/x
  3. Step 3: Cross multiply
    378,209.25x = 819,416.25 × 819,416.25
  4. Step 4: Simplify right side
    378,209.25x = 671,442,990,764.06
  5. Step 5: Solve for x
    x = 671,442,990,764.06/378,209.25
  6. Step 6: Final answer
    x = 1,775,321.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.