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Finding the Third Proportional to 306,379 and 648,086

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Solution

The third proportional to 306,379 and 648,086 is: 1,370,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,379 : 648,086 = 648,086 : x
  2. Step 2: Convert to fraction form
    306,379/648,086 = 648,086/x
  3. Step 3: Cross multiply
    306,379x = 648,086 × 648,086
  4. Step 4: Simplify right side
    306,379x = 420,015,463,396
  5. Step 5: Solve for x
    x = 420,015,463,396/306,379
  6. Step 6: Final answer
    x = 1,370,901.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.