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Finding the Third Proportional to 157,647 and 345,954

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Solution

The third proportional to 157,647 and 345,954 is: 759,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,647 : 345,954 = 345,954 : x
  2. Step 2: Convert to fraction form
    157,647/345,954 = 345,954/x
  3. Step 3: Cross multiply
    157,647x = 345,954 × 345,954
  4. Step 4: Simplify right side
    157,647x = 119,684,170,116
  5. Step 5: Solve for x
    x = 119,684,170,116/157,647
  6. Step 6: Final answer
    x = 759,190.91

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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.