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Finding the Third Proportional to 378,974.25 and 818,059.50

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Solution

The third proportional to 378,974.25 and 818,059.50 is: 1,765,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,974.25 : 818,059.50 = 818,059.50 : x
  2. Step 2: Convert to fraction form
    378,974.25/818,059.50 = 818,059.50/x
  3. Step 3: Cross multiply
    378,974.25x = 818,059.50 × 818,059.50
  4. Step 4: Simplify right side
    378,974.25x = 669,221,345,540.25
  5. Step 5: Solve for x
    x = 669,221,345,540.25/378,974.25
  6. Step 6: Final answer
    x = 1,765,875.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.