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Finding the Third Proportional to 173,795 and 380,809

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Solution

The third proportional to 173,795 and 380,809 is: 834,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,795 : 380,809 = 380,809 : x
  2. Step 2: Convert to fraction form
    173,795/380,809 = 380,809/x
  3. Step 3: Cross multiply
    173,795x = 380,809 × 380,809
  4. Step 4: Simplify right side
    173,795x = 145,015,494,481
  5. Step 5: Solve for x
    x = 145,015,494,481/173,795
  6. Step 6: Final answer
    x = 834,405.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.