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Finding the Third Proportional to 311,550.75 and 670,486.50

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Solution

The third proportional to 311,550.75 and 670,486.50 is: 1,442,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,550.75 : 670,486.50 = 670,486.50 : x
  2. Step 2: Convert to fraction form
    311,550.75/670,486.50 = 670,486.50/x
  3. Step 3: Cross multiply
    311,550.75x = 670,486.50 × 670,486.50
  4. Step 4: Simplify right side
    311,550.75x = 449,552,146,682.25
  5. Step 5: Solve for x
    x = 449,552,146,682.25/311,550.75
  6. Step 6: Final answer
    x = 1,442,949.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.