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Finding the Third Proportional to 356,486 and 518,676

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Solution

The third proportional to 356,486 and 518,676 is: 754,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,486 : 518,676 = 518,676 : x
  2. Step 2: Convert to fraction form
    356,486/518,676 = 518,676/x
  3. Step 3: Cross multiply
    356,486x = 518,676 × 518,676
  4. Step 4: Simplify right side
    356,486x = 269,024,792,976
  5. Step 5: Solve for x
    x = 269,024,792,976/356,486
  6. Step 6: Final answer
    x = 754,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.