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Finding the Third Proportional to 140,971.75 and 309,982.75

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Solution

The third proportional to 140,971.75 and 309,982.75 is: 681,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971.75 : 309,982.75 = 309,982.75 : x
  2. Step 2: Convert to fraction form
    140,971.75/309,982.75 = 309,982.75/x
  3. Step 3: Cross multiply
    140,971.75x = 309,982.75 × 309,982.75
  4. Step 4: Simplify right side
    140,971.75x = 96,089,305,297.56
  5. Step 5: Solve for x
    x = 96,089,305,297.56/140,971.75
  6. Step 6: Final answer
    x = 681,621.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.