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Finding the Third Proportional to 303,834 and 664,878

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Solution

The third proportional to 303,834 and 664,878 is: 1,454,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,834 : 664,878 = 664,878 : x
  2. Step 2: Convert to fraction form
    303,834/664,878 = 664,878/x
  3. Step 3: Cross multiply
    303,834x = 664,878 × 664,878
  4. Step 4: Simplify right side
    303,834x = 442,062,754,884
  5. Step 5: Solve for x
    x = 442,062,754,884/303,834
  6. Step 6: Final answer
    x = 1,454,948.28

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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.