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Finding the Third Proportional to 206,792 and 311,916

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Solution

The third proportional to 206,792 and 311,916 is: 470,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,792 : 311,916 = 311,916 : x
  2. Step 2: Convert to fraction form
    206,792/311,916 = 311,916/x
  3. Step 3: Cross multiply
    206,792x = 311,916 × 311,916
  4. Step 4: Simplify right side
    206,792x = 97,291,591,056
  5. Step 5: Solve for x
    x = 97,291,591,056/206,792
  6. Step 6: Final answer
    x = 470,480.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.