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Finding the Third Proportional to 280,164 and 647,922

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Solution

The third proportional to 280,164 and 647,922 is: 1,498,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,164 : 647,922 = 647,922 : x
  2. Step 2: Convert to fraction form
    280,164/647,922 = 647,922/x
  3. Step 3: Cross multiply
    280,164x = 647,922 × 647,922
  4. Step 4: Simplify right side
    280,164x = 419,802,918,084
  5. Step 5: Solve for x
    x = 419,802,918,084/280,164
  6. Step 6: Final answer
    x = 1,498,418.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.