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Finding the Third Proportional to 304,038 and 647,448

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Solution

The third proportional to 304,038 and 647,448 is: 1,378,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,038 : 647,448 = 647,448 : x
  2. Step 2: Convert to fraction form
    304,038/647,448 = 647,448/x
  3. Step 3: Cross multiply
    304,038x = 647,448 × 647,448
  4. Step 4: Simplify right side
    304,038x = 419,188,912,704
  5. Step 5: Solve for x
    x = 419,188,912,704/304,038
  6. Step 6: Final answer
    x = 1,378,738.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.