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Finding the Third Proportional to 998,920 and 2,157,451

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Solution

The third proportional to 998,920 and 2,157,451 is: 4,659,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,920 : 2,157,451 = 2,157,451 : x
  2. Step 2: Convert to fraction form
    998,920/2,157,451 = 2,157,451/x
  3. Step 3: Cross multiply
    998,920x = 2,157,451 × 2,157,451
  4. Step 4: Simplify right side
    998,920x = 4,654,594,817,401
  5. Step 5: Solve for x
    x = 4,654,594,817,401/998,920
  6. Step 6: Final answer
    x = 4,659,627.21

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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.