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Finding the Third Proportional to 341,471,777 and 734,734,037

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Solution

The third proportional to 341,471,777 and 734,734,037 is: 1,580,904,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,471,777 : 734,734,037 = 734,734,037 : x
  2. Step 2: Convert to fraction form
    341,471,777/734,734,037 = 734,734,037/x
  3. Step 3: Cross multiply
    341,471,777x = 734,734,037 × 734,734,037
  4. Step 4: Simplify right side
    341,471,777x = 539,834,105,126,317,376
  5. Step 5: Solve for x
    x = 539,834,105,126,317,376/341,471,777
  6. Step 6: Final answer
    x = 1,580,904,020.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.