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Finding the Third Proportional to 311,917.50 and 445,712.63

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Solution

The third proportional to 311,917.50 and 445,712.63 is: 636,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,917.50 : 445,712.63 = 445,712.63 : x
  2. Step 2: Convert to fraction form
    311,917.50/445,712.63 = 445,712.63/x
  3. Step 3: Cross multiply
    311,917.50x = 445,712.63 × 445,712.63
  4. Step 4: Simplify right side
    311,917.50x = 198,659,744,084.39
  5. Step 5: Solve for x
    x = 198,659,744,084.39/311,917.50
  6. Step 6: Final answer
    x = 636,898.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.