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Finding the Third Proportional to 387,085 and 836,448

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Solution

The third proportional to 387,085 and 836,448 is: 1,807,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085 : 836,448 = 836,448 : x
  2. Step 2: Convert to fraction form
    387,085/836,448 = 836,448/x
  3. Step 3: Cross multiply
    387,085x = 836,448 × 836,448
  4. Step 4: Simplify right side
    387,085x = 699,645,256,704
  5. Step 5: Solve for x
    x = 699,645,256,704/387,085
  6. Step 6: Final answer
    x = 1,807,471.89

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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.