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Finding the Third Proportional to 348,416.44 and 490,662.56

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Solution

The third proportional to 348,416.44 and 490,662.56 is: 690,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,416.44 : 490,662.56 = 490,662.56 : x
  2. Step 2: Convert to fraction form
    348,416.44/490,662.56 = 490,662.56/x
  3. Step 3: Cross multiply
    348,416.44x = 490,662.56 × 490,662.56
  4. Step 4: Simplify right side
    348,416.44x = 240,749,750,239.07
  5. Step 5: Solve for x
    x = 240,749,750,239.07/348,416.44
  6. Step 6: Final answer
    x = 690,982.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.