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Finding the Third Proportional to 431,976 and 959,830

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Solution

The third proportional to 431,976 and 959,830 is: 2,132,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,976 : 959,830 = 959,830 : x
  2. Step 2: Convert to fraction form
    431,976/959,830 = 959,830/x
  3. Step 3: Cross multiply
    431,976x = 959,830 × 959,830
  4. Step 4: Simplify right side
    431,976x = 921,273,628,900
  5. Step 5: Solve for x
    x = 921,273,628,900/431,976
  6. Step 6: Final answer
    x = 2,132,696.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.