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Finding the Third Proportional to 275,902 and 427,379

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Solution

The third proportional to 275,902 and 427,379 is: 662,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902 : 427,379 = 427,379 : x
  2. Step 2: Convert to fraction form
    275,902/427,379 = 427,379/x
  3. Step 3: Cross multiply
    275,902x = 427,379 × 427,379
  4. Step 4: Simplify right side
    275,902x = 182,652,809,641
  5. Step 5: Solve for x
    x = 182,652,809,641/275,902
  6. Step 6: Final answer
    x = 662,020.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.