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Finding the Third Proportional to 303,799 and 664,783

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Solution

The third proportional to 303,799 and 664,783 is: 1,454,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,799 : 664,783 = 664,783 : x
  2. Step 2: Convert to fraction form
    303,799/664,783 = 664,783/x
  3. Step 3: Cross multiply
    303,799x = 664,783 × 664,783
  4. Step 4: Simplify right side
    303,799x = 441,936,437,089
  5. Step 5: Solve for x
    x = 441,936,437,089/303,799
  6. Step 6: Final answer
    x = 1,454,700.10

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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.