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Finding the Third Proportional to 336,868 and 729,811

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Solution

The third proportional to 336,868 and 729,811 is: 1,581,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,868 : 729,811 = 729,811 : x
  2. Step 2: Convert to fraction form
    336,868/729,811 = 729,811/x
  3. Step 3: Cross multiply
    336,868x = 729,811 × 729,811
  4. Step 4: Simplify right side
    336,868x = 532,624,095,721
  5. Step 5: Solve for x
    x = 532,624,095,721/336,868
  6. Step 6: Final answer
    x = 1,581,106.24

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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.