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Finding the Third Proportional to 621,661 and 944,643

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Solution

The third proportional to 621,661 and 944,643 is: 1,435,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,661 : 944,643 = 944,643 : x
  2. Step 2: Convert to fraction form
    621,661/944,643 = 944,643/x
  3. Step 3: Cross multiply
    621,661x = 944,643 × 944,643
  4. Step 4: Simplify right side
    621,661x = 892,350,397,449
  5. Step 5: Solve for x
    x = 892,350,397,449/621,661
  6. Step 6: Final answer
    x = 1,435,429.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.