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Finding the Third Proportional to 340,449.75 and 512,142.75

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Solution

The third proportional to 340,449.75 and 512,142.75 is: 770,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,449.75 : 512,142.75 = 512,142.75 : x
  2. Step 2: Convert to fraction form
    340,449.75/512,142.75 = 512,142.75/x
  3. Step 3: Cross multiply
    340,449.75x = 512,142.75 × 512,142.75
  4. Step 4: Simplify right side
    340,449.75x = 262,290,196,377.56
  5. Step 5: Solve for x
    x = 262,290,196,377.56/340,449.75
  6. Step 6: Final answer
    x = 770,422.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.