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Finding the Third Proportional to 168,638 and 368,356

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Solution

The third proportional to 168,638 and 368,356 is: 804,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,638 : 368,356 = 368,356 : x
  2. Step 2: Convert to fraction form
    168,638/368,356 = 368,356/x
  3. Step 3: Cross multiply
    168,638x = 368,356 × 368,356
  4. Step 4: Simplify right side
    168,638x = 135,686,142,736
  5. Step 5: Solve for x
    x = 135,686,142,736/168,638
  6. Step 6: Final answer
    x = 804,600.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.