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Finding the Third Proportional to 408,567 and 675,220.50

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Solution

The third proportional to 408,567 and 675,220.50 is: 1,115,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,567 : 675,220.50 = 675,220.50 : x
  2. Step 2: Convert to fraction form
    408,567/675,220.50 = 675,220.50/x
  3. Step 3: Cross multiply
    408,567x = 675,220.50 × 675,220.50
  4. Step 4: Simplify right side
    408,567x = 455,922,723,620.25
  5. Step 5: Solve for x
    x = 455,922,723,620.25/408,567
  6. Step 6: Final answer
    x = 1,115,906.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.