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Finding the Third Proportional to 654,105,338 and 1,005,405,198

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Solution

The third proportional to 654,105,338 and 1,005,405,198 is: 1,545,377,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,105,338 : 1,005,405,198 = 1,005,405,198 : x
  2. Step 2: Convert to fraction form
    654,105,338/1,005,405,198 = 1,005,405,198/x
  3. Step 3: Cross multiply
    654,105,338x = 1,005,405,198 × 1,005,405,198
  4. Step 4: Simplify right side
    654,105,338x = 1,010,839,612,165,419,264
  5. Step 5: Solve for x
    x = 1,010,839,612,165,419,264/654,105,338
  6. Step 6: Final answer
    x = 1,545,377,408.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.