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Finding the Third Proportional to 345,956 and 518,934

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Solution

The third proportional to 345,956 and 518,934 is: 778,401

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,956 : 518,934 = 518,934 : x
  2. Step 2: Convert to fraction form
    345,956/518,934 = 518,934/x
  3. Step 3: Cross multiply
    345,956x = 518,934 × 518,934
  4. Step 4: Simplify right side
    345,956x = 269,292,496,356
  5. Step 5: Solve for x
    x = 269,292,496,356/345,956
  6. Step 6: Final answer
    x = 778,401

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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.