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Finding the Third Proportional to 336,908 and 729,836

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Solution

The third proportional to 336,908 and 729,836 is: 1,581,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,908 : 729,836 = 729,836 : x
  2. Step 2: Convert to fraction form
    336,908/729,836 = 729,836/x
  3. Step 3: Cross multiply
    336,908x = 729,836 × 729,836
  4. Step 4: Simplify right side
    336,908x = 532,660,586,896
  5. Step 5: Solve for x
    x = 532,660,586,896/336,908
  6. Step 6: Final answer
    x = 1,581,026.83

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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.