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Finding the Third Proportional to 192,404.50 and 289,760.88

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Solution

The third proportional to 192,404.50 and 289,760.88 is: 436,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,404.50 : 289,760.88 = 289,760.88 : x
  2. Step 2: Convert to fraction form
    192,404.50/289,760.88 = 289,760.88/x
  3. Step 3: Cross multiply
    192,404.50x = 289,760.88 × 289,760.88
  4. Step 4: Simplify right side
    192,404.50x = 83,961,364,680.77
  5. Step 5: Solve for x
    x = 83,961,364,680.77/192,404.50
  6. Step 6: Final answer
    x = 436,379.42

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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.