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Finding the Third Proportional to 534,199,093 and 1,177,079,408

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Solution

The third proportional to 534,199,093 and 1,177,079,408 is: 2,593,632,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,199,093 : 1,177,079,408 = 1,177,079,408 : x
  2. Step 2: Convert to fraction form
    534,199,093/1,177,079,408 = 1,177,079,408/x
  3. Step 3: Cross multiply
    534,199,093x = 1,177,079,408 × 1,177,079,408
  4. Step 4: Simplify right side
    534,199,093x = 1,385,515,932,737,630,464
  5. Step 5: Solve for x
    x = 1,385,515,932,737,630,464/534,199,093
  6. Step 6: Final answer
    x = 2,593,632,132.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.