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Finding the Third Proportional to 331,500.75 and 509,836.50

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Solution

The third proportional to 331,500.75 and 509,836.50 is: 784,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,500.75 : 509,836.50 = 509,836.50 : x
  2. Step 2: Convert to fraction form
    331,500.75/509,836.50 = 509,836.50/x
  3. Step 3: Cross multiply
    331,500.75x = 509,836.50 × 509,836.50
  4. Step 4: Simplify right side
    331,500.75x = 259,933,256,732.25
  5. Step 5: Solve for x
    x = 259,933,256,732.25/331,500.75
  6. Step 6: Final answer
    x = 784,110.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.