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Finding the Third Proportional to 92,560.50 and 192,395.25

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Solution

The third proportional to 92,560.50 and 192,395.25 is: 399,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,560.50 : 192,395.25 = 192,395.25 : x
  2. Step 2: Convert to fraction form
    92,560.50/192,395.25 = 192,395.25/x
  3. Step 3: Cross multiply
    92,560.50x = 192,395.25 × 192,395.25
  4. Step 4: Simplify right side
    92,560.50x = 37,015,932,222.56
  5. Step 5: Solve for x
    x = 37,015,932,222.56/92,560.50
  6. Step 6: Final answer
    x = 399,910.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.