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Finding the Third Proportional to 308,890 and 667,745

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Solution

The third proportional to 308,890 and 667,745 is: 1,443,502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,890 : 667,745 = 667,745 : x
  2. Step 2: Convert to fraction form
    308,890/667,745 = 667,745/x
  3. Step 3: Cross multiply
    308,890x = 667,745 × 667,745
  4. Step 4: Simplify right side
    308,890x = 445,883,385,025
  5. Step 5: Solve for x
    x = 445,883,385,025/308,890
  6. Step 6: Final answer
    x = 1,443,502.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.