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Finding the Third Proportional to 92,236.50 and 140,269

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Solution

The third proportional to 92,236.50 and 140,269 is: 213,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,236.50 : 140,269 = 140,269 : x
  2. Step 2: Convert to fraction form
    92,236.50/140,269 = 140,269/x
  3. Step 3: Cross multiply
    92,236.50x = 140,269 × 140,269
  4. Step 4: Simplify right side
    92,236.50x = 19,675,392,361
  5. Step 5: Solve for x
    x = 19,675,392,361/92,236.50
  6. Step 6: Final answer
    x = 213,314.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.