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Finding the Third Proportional to 287,589 and 616,812

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Solution

The third proportional to 287,589 and 616,812 is: 1,322,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,589 : 616,812 = 616,812 : x
  2. Step 2: Convert to fraction form
    287,589/616,812 = 616,812/x
  3. Step 3: Cross multiply
    287,589x = 616,812 × 616,812
  4. Step 4: Simplify right side
    287,589x = 380,457,043,344
  5. Step 5: Solve for x
    x = 380,457,043,344/287,589
  6. Step 6: Final answer
    x = 1,322,919.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.