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Finding the Third Proportional to 621,449 and 959,647

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Solution

The third proportional to 621,449 and 959,647 is: 1,481,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,449 : 959,647 = 959,647 : x
  2. Step 2: Convert to fraction form
    621,449/959,647 = 959,647/x
  3. Step 3: Cross multiply
    621,449x = 959,647 × 959,647
  4. Step 4: Simplify right side
    621,449x = 920,922,364,609
  5. Step 5: Solve for x
    x = 920,922,364,609/621,449
  6. Step 6: Final answer
    x = 1,481,895.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.