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Finding the Third Proportional to 407,847 and 620,761.50

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Solution

The third proportional to 407,847 and 620,761.50 is: 944,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,847 : 620,761.50 = 620,761.50 : x
  2. Step 2: Convert to fraction form
    407,847/620,761.50 = 620,761.50/x
  3. Step 3: Cross multiply
    407,847x = 620,761.50 × 620,761.50
  4. Step 4: Simplify right side
    407,847x = 385,344,839,882.25
  5. Step 5: Solve for x
    x = 385,344,839,882.25/407,847
  6. Step 6: Final answer
    x = 944,826.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.