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Finding the Third Proportional to 305,969 and 666,376

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Solution

The third proportional to 305,969 and 666,376 is: 1,451,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969 : 666,376 = 666,376 : x
  2. Step 2: Convert to fraction form
    305,969/666,376 = 666,376/x
  3. Step 3: Cross multiply
    305,969x = 666,376 × 666,376
  4. Step 4: Simplify right side
    305,969x = 444,056,973,376
  5. Step 5: Solve for x
    x = 444,056,973,376/305,969
  6. Step 6: Final answer
    x = 1,451,313.61

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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.