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Finding the Third Proportional to 381,699 and 794,790

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Solution

The third proportional to 381,699 and 794,790 is: 1,654,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,699 : 794,790 = 794,790 : x
  2. Step 2: Convert to fraction form
    381,699/794,790 = 794,790/x
  3. Step 3: Cross multiply
    381,699x = 794,790 × 794,790
  4. Step 4: Simplify right side
    381,699x = 631,691,144,100
  5. Step 5: Solve for x
    x = 631,691,144,100/381,699
  6. Step 6: Final answer
    x = 1,654,945.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.