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Finding the Third Proportional to 300,246 and 647,040

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Solution

The third proportional to 300,246 and 647,040 is: 1,394,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,246 : 647,040 = 647,040 : x
  2. Step 2: Convert to fraction form
    300,246/647,040 = 647,040/x
  3. Step 3: Cross multiply
    300,246x = 647,040 × 647,040
  4. Step 4: Simplify right side
    300,246x = 418,660,761,600
  5. Step 5: Solve for x
    x = 418,660,761,600/300,246
  6. Step 6: Final answer
    x = 1,394,392.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.