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Finding the Third Proportional to 637,839 and 959,643

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Solution

The third proportional to 637,839 and 959,643 is: 1,443,804.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,839 : 959,643 = 959,643 : x
  2. Step 2: Convert to fraction form
    637,839/959,643 = 959,643/x
  3. Step 3: Cross multiply
    637,839x = 959,643 × 959,643
  4. Step 4: Simplify right side
    637,839x = 920,914,687,449
  5. Step 5: Solve for x
    x = 920,914,687,449/637,839
  6. Step 6: Final answer
    x = 1,443,804.29

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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.