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Finding the Third Proportional to 311,456.25 and 445,381.88

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Solution

The third proportional to 311,456.25 and 445,381.88 is: 636,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,456.25 : 445,381.88 = 445,381.88 : x
  2. Step 2: Convert to fraction form
    311,456.25/445,381.88 = 445,381.88/x
  3. Step 3: Cross multiply
    311,456.25x = 445,381.88 × 445,381.88
  4. Step 4: Simplify right side
    311,456.25x = 198,365,014,578.52
  5. Step 5: Solve for x
    x = 198,365,014,578.52/311,456.25
  6. Step 6: Final answer
    x = 636,895.28

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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.