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Finding the Third Proportional to 194,028,260,445 and 422,222,493,867

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Solution

The third proportional to 194,028,260,445 and 422,222,493,867 is: 918,793,138,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,028,260,445 : 422,222,493,867 = 422,222,493,867 : x
  2. Step 2: Convert to fraction form
    194,028,260,445/422,222,493,867 = 422,222,493,867/x
  3. Step 3: Cross multiply
    194,028,260,445x = 422,222,493,867 × 422,222,493,867
  4. Step 4: Simplify right side
    194,028,260,445x = 178,271,834,327,268,844,371,968
  5. Step 5: Solve for x
    x = 178,271,834,327,268,844,371,968/194,028,260,445
  6. Step 6: Final answer
    x = 918,793,138,269.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.