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Finding the Third Proportional to 461,647 and 690,626

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Solution

The third proportional to 461,647 and 690,626 is: 1,033,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,647 : 690,626 = 690,626 : x
  2. Step 2: Convert to fraction form
    461,647/690,626 = 690,626/x
  3. Step 3: Cross multiply
    461,647x = 690,626 × 690,626
  4. Step 4: Simplify right side
    461,647x = 476,964,271,876
  5. Step 5: Solve for x
    x = 476,964,271,876/461,647
  6. Step 6: Final answer
    x = 1,033,179.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.