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Finding the Third Proportional to 345,844 and 518,766

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Solution

The third proportional to 345,844 and 518,766 is: 778,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,844 : 518,766 = 518,766 : x
  2. Step 2: Convert to fraction form
    345,844/518,766 = 518,766/x
  3. Step 3: Cross multiply
    345,844x = 518,766 × 518,766
  4. Step 4: Simplify right side
    345,844x = 269,118,162,756
  5. Step 5: Solve for x
    x = 269,118,162,756/345,844
  6. Step 6: Final answer
    x = 778,149

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.