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Finding the Third Proportional to 288,867 and 422,604

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Solution

The third proportional to 288,867 and 422,604 is: 618,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,867 : 422,604 = 422,604 : x
  2. Step 2: Convert to fraction form
    288,867/422,604 = 422,604/x
  3. Step 3: Cross multiply
    288,867x = 422,604 × 422,604
  4. Step 4: Simplify right side
    288,867x = 178,594,140,816
  5. Step 5: Solve for x
    x = 178,594,140,816/288,867
  6. Step 6: Final answer
    x = 618,257.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.