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Finding the Third Proportional to 629,976 and 972,828

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Solution

The third proportional to 629,976 and 972,828 is: 1,502,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,976 : 972,828 = 972,828 : x
  2. Step 2: Convert to fraction form
    629,976/972,828 = 972,828/x
  3. Step 3: Cross multiply
    629,976x = 972,828 × 972,828
  4. Step 4: Simplify right side
    629,976x = 946,394,317,584
  5. Step 5: Solve for x
    x = 946,394,317,584/629,976
  6. Step 6: Final answer
    x = 1,502,270.43

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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.