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Finding the Third Proportional to 92,760.50 and 203,275

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Solution

The third proportional to 92,760.50 and 203,275 is: 445,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,760.50 : 203,275 = 203,275 : x
  2. Step 2: Convert to fraction form
    92,760.50/203,275 = 203,275/x
  3. Step 3: Cross multiply
    92,760.50x = 203,275 × 203,275
  4. Step 4: Simplify right side
    92,760.50x = 41,320,725,625
  5. Step 5: Solve for x
    x = 41,320,725,625/92,760.50
  6. Step 6: Final answer
    x = 445,456.05

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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.