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Finding the Third Proportional to 92,508 and 199,053

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Solution

The third proportional to 92,508 and 199,053 is: 428,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,508 : 199,053 = 199,053 : x
  2. Step 2: Convert to fraction form
    92,508/199,053 = 199,053/x
  3. Step 3: Cross multiply
    92,508x = 199,053 × 199,053
  4. Step 4: Simplify right side
    92,508x = 39,622,096,809
  5. Step 5: Solve for x
    x = 39,622,096,809/92,508
  6. Step 6: Final answer
    x = 428,309.95

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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.