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Finding the Third Proportional to 998,918 and 2,157,447

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Solution

The third proportional to 998,918 and 2,157,447 is: 4,659,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,918 : 2,157,447 = 2,157,447 : x
  2. Step 2: Convert to fraction form
    998,918/2,157,447 = 2,157,447/x
  3. Step 3: Cross multiply
    998,918x = 2,157,447 × 2,157,447
  4. Step 4: Simplify right side
    998,918x = 4,654,577,557,809
  5. Step 5: Solve for x
    x = 4,654,577,557,809/998,918
  6. Step 6: Final answer
    x = 4,659,619.27

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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.