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Finding the Third Proportional to 306,147 and 664,836

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Solution

The third proportional to 306,147 and 664,836 is: 1,443,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,147 : 664,836 = 664,836 : x
  2. Step 2: Convert to fraction form
    306,147/664,836 = 664,836/x
  3. Step 3: Cross multiply
    306,147x = 664,836 × 664,836
  4. Step 4: Simplify right side
    306,147x = 442,006,906,896
  5. Step 5: Solve for x
    x = 442,006,906,896/306,147
  6. Step 6: Final answer
    x = 1,443,773.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.