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Finding the Third Proportional to 387,100 and 809,678

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Solution

The third proportional to 387,100 and 809,678 is: 1,693,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,100 : 809,678 = 809,678 : x
  2. Step 2: Convert to fraction form
    387,100/809,678 = 809,678/x
  3. Step 3: Cross multiply
    387,100x = 809,678 × 809,678
  4. Step 4: Simplify right side
    387,100x = 655,578,463,684
  5. Step 5: Solve for x
    x = 655,578,463,684/387,100
  6. Step 6: Final answer
    x = 1,693,563.58

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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.