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Finding the Third Proportional to 157,809 and 343,266

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Solution

The third proportional to 157,809 and 343,266 is: 746,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809 : 343,266 = 343,266 : x
  2. Step 2: Convert to fraction form
    157,809/343,266 = 343,266/x
  3. Step 3: Cross multiply
    157,809x = 343,266 × 343,266
  4. Step 4: Simplify right side
    157,809x = 117,831,546,756
  5. Step 5: Solve for x
    x = 117,831,546,756/157,809
  6. Step 6: Final answer
    x = 746,671.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.