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Finding the Third Proportional to 408,078 and 573,647

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Solution

The third proportional to 408,078 and 573,647 is: 806,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078 : 573,647 = 573,647 : x
  2. Step 2: Convert to fraction form
    408,078/573,647 = 573,647/x
  3. Step 3: Cross multiply
    408,078x = 573,647 × 573,647
  4. Step 4: Simplify right side
    408,078x = 329,070,880,609
  5. Step 5: Solve for x
    x = 329,070,880,609/408,078
  6. Step 6: Final answer
    x = 806,392.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.