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Finding the Third Proportional to 331,665 and 779,655

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Solution

The third proportional to 331,665 and 779,655 is: 1,832,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,665 : 779,655 = 779,655 : x
  2. Step 2: Convert to fraction form
    331,665/779,655 = 779,655/x
  3. Step 3: Cross multiply
    331,665x = 779,655 × 779,655
  4. Step 4: Simplify right side
    331,665x = 607,861,919,025
  5. Step 5: Solve for x
    x = 607,861,919,025/331,665
  6. Step 6: Final answer
    x = 1,832,758.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.