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Finding the Third Proportional to 91,956 and 140,610

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Solution

The third proportional to 91,956 and 140,610 is: 215,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,956 : 140,610 = 140,610 : x
  2. Step 2: Convert to fraction form
    91,956/140,610 = 140,610/x
  3. Step 3: Cross multiply
    91,956x = 140,610 × 140,610
  4. Step 4: Simplify right side
    91,956x = 19,771,172,100
  5. Step 5: Solve for x
    x = 19,771,172,100/91,956
  6. Step 6: Final answer
    x = 215,006.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.