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Finding the Third Proportional to 95,424 and 140,284.50

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Solution

The third proportional to 95,424 and 140,284.50 is: 206,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,424 : 140,284.50 = 140,284.50 : x
  2. Step 2: Convert to fraction form
    95,424/140,284.50 = 140,284.50/x
  3. Step 3: Cross multiply
    95,424x = 140,284.50 × 140,284.50
  4. Step 4: Simplify right side
    95,424x = 19,679,740,940.25
  5. Step 5: Solve for x
    x = 19,679,740,940.25/95,424
  6. Step 6: Final answer
    x = 206,234.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.