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Finding the Third Proportional to 168,388 and 371,912

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Solution

The third proportional to 168,388 and 371,912 is: 821,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,388 : 371,912 = 371,912 : x
  2. Step 2: Convert to fraction form
    168,388/371,912 = 371,912/x
  3. Step 3: Cross multiply
    168,388x = 371,912 × 371,912
  4. Step 4: Simplify right side
    168,388x = 138,318,535,744
  5. Step 5: Solve for x
    x = 138,318,535,744/168,388
  6. Step 6: Final answer
    x = 821,427.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.