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Finding the Third Proportional to 168,400 and 368,508

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Solution

The third proportional to 168,400 and 368,508 is: 806,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,400 : 368,508 = 368,508 : x
  2. Step 2: Convert to fraction form
    168,400/368,508 = 368,508/x
  3. Step 3: Cross multiply
    168,400x = 368,508 × 368,508
  4. Step 4: Simplify right side
    168,400x = 135,798,146,064
  5. Step 5: Solve for x
    x = 135,798,146,064/168,400
  6. Step 6: Final answer
    x = 806,402.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.