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Finding the Third Proportional to 403,839 and 622,605

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Solution

The third proportional to 403,839 and 622,605 is: 959,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,839 : 622,605 = 622,605 : x
  2. Step 2: Convert to fraction form
    403,839/622,605 = 622,605/x
  3. Step 3: Cross multiply
    403,839x = 622,605 × 622,605
  4. Step 4: Simplify right side
    403,839x = 387,636,986,025
  5. Step 5: Solve for x
    x = 387,636,986,025/403,839
  6. Step 6: Final answer
    x = 959,880.02

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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.