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Finding the Third Proportional to 303,721 and 664,641

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Solution

The third proportional to 303,721 and 664,641 is: 1,454,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,721 : 664,641 = 664,641 : x
  2. Step 2: Convert to fraction form
    303,721/664,641 = 664,641/x
  3. Step 3: Cross multiply
    303,721x = 664,641 × 664,641
  4. Step 4: Simplify right side
    303,721x = 441,747,658,881
  5. Step 5: Solve for x
    x = 441,747,658,881/303,721
  6. Step 6: Final answer
    x = 1,454,452.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.