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Finding the Third Proportional to 387,504 and 836,172

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Solution

The third proportional to 387,504 and 836,172 is: 1,804,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,504 : 836,172 = 836,172 : x
  2. Step 2: Convert to fraction form
    387,504/836,172 = 836,172/x
  3. Step 3: Cross multiply
    387,504x = 836,172 × 836,172
  4. Step 4: Simplify right side
    387,504x = 699,183,613,584
  5. Step 5: Solve for x
    x = 699,183,613,584/387,504
  6. Step 6: Final answer
    x = 1,804,326.18

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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.