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Finding the Third Proportional to 340,429.50 and 512,112.75

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Solution

The third proportional to 340,429.50 and 512,112.75 is: 770,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,429.50 : 512,112.75 = 512,112.75 : x
  2. Step 2: Convert to fraction form
    340,429.50/512,112.75 = 512,112.75/x
  3. Step 3: Cross multiply
    340,429.50x = 512,112.75 × 512,112.75
  4. Step 4: Simplify right side
    340,429.50x = 262,259,468,712.56
  5. Step 5: Solve for x
    x = 262,259,468,712.56/340,429.50
  6. Step 6: Final answer
    x = 770,378.21

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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.