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Finding the Third Proportional to 205,499,298 and 281,794,989

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Solution

The third proportional to 205,499,298 and 281,794,989 is: 386,416,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,499,298 : 281,794,989 = 281,794,989 : x
  2. Step 2: Convert to fraction form
    205,499,298/281,794,989 = 281,794,989/x
  3. Step 3: Cross multiply
    205,499,298x = 281,794,989 × 281,794,989
  4. Step 4: Simplify right side
    205,499,298x = 79,408,415,825,510,128
  5. Step 5: Solve for x
    x = 79,408,415,825,510,128/205,499,298
  6. Step 6: Final answer
    x = 386,416,968.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.