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Finding the Third Proportional to 305,971 and 666,379

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Solution

The third proportional to 305,971 and 666,379 is: 1,451,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971 : 666,379 = 666,379 : x
  2. Step 2: Convert to fraction form
    305,971/666,379 = 666,379/x
  3. Step 3: Cross multiply
    305,971x = 666,379 × 666,379
  4. Step 4: Simplify right side
    305,971x = 444,060,971,641
  5. Step 5: Solve for x
    x = 444,060,971,641/305,971
  6. Step 6: Final answer
    x = 1,451,317.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.