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Finding the Third Proportional to 378,580 and 809,690

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Solution

The third proportional to 378,580 and 809,690 is: 1,731,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,580 : 809,690 = 809,690 : x
  2. Step 2: Convert to fraction form
    378,580/809,690 = 809,690/x
  3. Step 3: Cross multiply
    378,580x = 809,690 × 809,690
  4. Step 4: Simplify right side
    378,580x = 655,597,896,100
  5. Step 5: Solve for x
    x = 655,597,896,100/378,580
  6. Step 6: Final answer
    x = 1,731,728.82

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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.