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Finding the Third Proportional to 378,220 and 809,957

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Solution

The third proportional to 378,220 and 809,957 is: 1,734,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,220 : 809,957 = 809,957 : x
  2. Step 2: Convert to fraction form
    378,220/809,957 = 809,957/x
  3. Step 3: Cross multiply
    378,220x = 809,957 × 809,957
  4. Step 4: Simplify right side
    378,220x = 656,030,341,849
  5. Step 5: Solve for x
    x = 656,030,341,849/378,220
  6. Step 6: Final answer
    x = 1,734,520.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.