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Finding the Third Proportional to 812,113,990 and 1,203,422,909

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Solution

The third proportional to 812,113,990 and 1,203,422,909 is: 1,783,280,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,113,990 : 1,203,422,909 = 1,203,422,909 : x
  2. Step 2: Convert to fraction form
    812,113,990/1,203,422,909 = 1,203,422,909/x
  3. Step 3: Cross multiply
    812,113,990x = 1,203,422,909 × 1,203,422,909
  4. Step 4: Simplify right side
    812,113,990x = 1,448,226,697,906,022,400
  5. Step 5: Solve for x
    x = 1,448,226,697,906,022,400/812,113,990
  6. Step 6: Final answer
    x = 1,783,280,076.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.