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Finding the Third Proportional to 345,828 and 518,742

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Solution

The third proportional to 345,828 and 518,742 is: 778,113

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,828 : 518,742 = 518,742 : x
  2. Step 2: Convert to fraction form
    345,828/518,742 = 518,742/x
  3. Step 3: Cross multiply
    345,828x = 518,742 × 518,742
  4. Step 4: Simplify right side
    345,828x = 269,093,262,564
  5. Step 5: Solve for x
    x = 269,093,262,564/345,828
  6. Step 6: Final answer
    x = 778,113

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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.