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Finding the Third Proportional to 381,843 and 754,047

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Solution

The third proportional to 381,843 and 754,047 is: 1,489,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,843 : 754,047 = 754,047 : x
  2. Step 2: Convert to fraction form
    381,843/754,047 = 754,047/x
  3. Step 3: Cross multiply
    381,843x = 754,047 × 754,047
  4. Step 4: Simplify right side
    381,843x = 568,586,878,209
  5. Step 5: Solve for x
    x = 568,586,878,209/381,843
  6. Step 6: Final answer
    x = 1,489,059.32

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.