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Finding the Third Proportional to 387,760 and 836,616

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Solution

The third proportional to 387,760 and 836,616 is: 1,805,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,760 : 836,616 = 836,616 : x
  2. Step 2: Convert to fraction form
    387,760/836,616 = 836,616/x
  3. Step 3: Cross multiply
    387,760x = 836,616 × 836,616
  4. Step 4: Simplify right side
    387,760x = 699,926,331,456
  5. Step 5: Solve for x
    x = 699,926,331,456/387,760
  6. Step 6: Final answer
    x = 1,805,050.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.