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Finding the Third Proportional to 998,409 and 2,154,282

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Solution

The third proportional to 998,409 and 2,154,282 is: 4,648,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,409 : 2,154,282 = 2,154,282 : x
  2. Step 2: Convert to fraction form
    998,409/2,154,282 = 2,154,282/x
  3. Step 3: Cross multiply
    998,409x = 2,154,282 × 2,154,282
  4. Step 4: Simplify right side
    998,409x = 4,640,930,935,524
  5. Step 5: Solve for x
    x = 4,640,930,935,524/998,409
  6. Step 6: Final answer
    x = 4,648,326.42

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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.