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Finding the Third Proportional to 351,100 and 684,684

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Solution

The third proportional to 351,100 and 684,684 is: 1,335,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,100 : 684,684 = 684,684 : x
  2. Step 2: Convert to fraction form
    351,100/684,684 = 684,684/x
  3. Step 3: Cross multiply
    351,100x = 684,684 × 684,684
  4. Step 4: Simplify right side
    351,100x = 468,792,179,856
  5. Step 5: Solve for x
    x = 468,792,179,856/351,100
  6. Step 6: Final answer
    x = 1,335,209.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.