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Finding the Third Proportional to 92,686 and 199,345

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Solution

The third proportional to 92,686 and 199,345 is: 428,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,686 : 199,345 = 199,345 : x
  2. Step 2: Convert to fraction form
    92,686/199,345 = 199,345/x
  3. Step 3: Cross multiply
    92,686x = 199,345 × 199,345
  4. Step 4: Simplify right side
    92,686x = 39,738,429,025
  5. Step 5: Solve for x
    x = 39,738,429,025/92,686
  6. Step 6: Final answer
    x = 428,742.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.