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Finding the Third Proportional to 313,467 and 739,855

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Solution

The third proportional to 313,467 and 739,855 is: 1,746,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,467 : 739,855 = 739,855 : x
  2. Step 2: Convert to fraction form
    313,467/739,855 = 739,855/x
  3. Step 3: Cross multiply
    313,467x = 739,855 × 739,855
  4. Step 4: Simplify right side
    313,467x = 547,385,421,025
  5. Step 5: Solve for x
    x = 547,385,421,025/313,467
  6. Step 6: Final answer
    x = 1,746,229.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.