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Finding the Third Proportional to 982,375 and 2,171,218

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Solution

The third proportional to 982,375 and 2,171,218 is: 4,798,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,375 : 2,171,218 = 2,171,218 : x
  2. Step 2: Convert to fraction form
    982,375/2,171,218 = 2,171,218/x
  3. Step 3: Cross multiply
    982,375x = 2,171,218 × 2,171,218
  4. Step 4: Simplify right side
    982,375x = 4,714,187,603,524
  5. Step 5: Solve for x
    x = 4,714,187,603,524/982,375
  6. Step 6: Final answer
    x = 4,798,765.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.