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Finding the Third Proportional to 387,736 and 836,576

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Solution

The third proportional to 387,736 and 836,576 is: 1,804,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,736 : 836,576 = 836,576 : x
  2. Step 2: Convert to fraction form
    387,736/836,576 = 836,576/x
  3. Step 3: Cross multiply
    387,736x = 836,576 × 836,576
  4. Step 4: Simplify right side
    387,736x = 699,859,403,776
  5. Step 5: Solve for x
    x = 699,859,403,776/387,736
  6. Step 6: Final answer
    x = 1,804,989.49

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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.