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Finding the Third Proportional to 92,908.50 and 140,233.50

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Solution

The third proportional to 92,908.50 and 140,233.50 is: 211,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,908.50 : 140,233.50 = 140,233.50 : x
  2. Step 2: Convert to fraction form
    92,908.50/140,233.50 = 140,233.50/x
  3. Step 3: Cross multiply
    92,908.50x = 140,233.50 × 140,233.50
  4. Step 4: Simplify right side
    92,908.50x = 19,665,434,522.25
  5. Step 5: Solve for x
    x = 19,665,434,522.25/92,908.50
  6. Step 6: Final answer
    x = 211,664.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.