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Finding the Third Proportional to 381,855 and 754,053

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Solution

The third proportional to 381,855 and 754,053 is: 1,489,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,855 : 754,053 = 754,053 : x
  2. Step 2: Convert to fraction form
    381,855/754,053 = 754,053/x
  3. Step 3: Cross multiply
    381,855x = 754,053 × 754,053
  4. Step 4: Simplify right side
    381,855x = 568,595,926,809
  5. Step 5: Solve for x
    x = 568,595,926,809/381,855
  6. Step 6: Final answer
    x = 1,489,036.22

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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.