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Finding the Third Proportional to 345,832 and 518,748

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Solution

The third proportional to 345,832 and 518,748 is: 778,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,832 : 518,748 = 518,748 : x
  2. Step 2: Convert to fraction form
    345,832/518,748 = 518,748/x
  3. Step 3: Cross multiply
    345,832x = 518,748 × 518,748
  4. Step 4: Simplify right side
    345,832x = 269,099,487,504
  5. Step 5: Solve for x
    x = 269,099,487,504/345,832
  6. Step 6: Final answer
    x = 778,122

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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.