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Finding the Third Proportional to 355,379 and 838,927

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Solution

The third proportional to 355,379 and 838,927 is: 1,980,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,379 : 838,927 = 838,927 : x
  2. Step 2: Convert to fraction form
    355,379/838,927 = 838,927/x
  3. Step 3: Cross multiply
    355,379x = 838,927 × 838,927
  4. Step 4: Simplify right side
    355,379x = 703,798,511,329
  5. Step 5: Solve for x
    x = 703,798,511,329/355,379
  6. Step 6: Final answer
    x = 1,980,416.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.