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Finding the Third Proportional to 193,848 and 283,252.50

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Solution

The third proportional to 193,848 and 283,252.50 is: 413,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,848 : 283,252.50 = 283,252.50 : x
  2. Step 2: Convert to fraction form
    193,848/283,252.50 = 283,252.50/x
  3. Step 3: Cross multiply
    193,848x = 283,252.50 × 283,252.50
  4. Step 4: Simplify right side
    193,848x = 80,231,978,756.25
  5. Step 5: Solve for x
    x = 80,231,978,756.25/193,848
  6. Step 6: Final answer
    x = 413,891.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.