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Finding the Third Proportional to 343,899 and 809,180

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Solution

The third proportional to 343,899 and 809,180 is: 1,903,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,899 : 809,180 = 809,180 : x
  2. Step 2: Convert to fraction form
    343,899/809,180 = 809,180/x
  3. Step 3: Cross multiply
    343,899x = 809,180 × 809,180
  4. Step 4: Simplify right side
    343,899x = 654,772,272,400
  5. Step 5: Solve for x
    x = 654,772,272,400/343,899
  6. Step 6: Final answer
    x = 1,903,966.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.