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Finding the Third Proportional to 387,085 and 836,449

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Solution

The third proportional to 387,085 and 836,449 is: 1,807,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085 : 836,449 = 836,449 : x
  2. Step 2: Convert to fraction form
    387,085/836,449 = 836,449/x
  3. Step 3: Cross multiply
    387,085x = 836,449 × 836,449
  4. Step 4: Simplify right side
    387,085x = 699,646,929,601
  5. Step 5: Solve for x
    x = 699,646,929,601/387,085
  6. Step 6: Final answer
    x = 1,807,476.21

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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.