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Finding the Third Proportional to 387,099 and 809,676

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Solution

The third proportional to 387,099 and 809,676 is: 1,693,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,099 : 809,676 = 809,676 : x
  2. Step 2: Convert to fraction form
    387,099/809,676 = 809,676/x
  3. Step 3: Cross multiply
    387,099x = 809,676 × 809,676
  4. Step 4: Simplify right side
    387,099x = 655,575,224,976
  5. Step 5: Solve for x
    x = 655,575,224,976/387,099
  6. Step 6: Final answer
    x = 1,693,559.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.