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Finding the Third Proportional to 344,919.50 and 515,255

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Solution

The third proportional to 344,919.50 and 515,255 is: 769,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,919.50 : 515,255 = 515,255 : x
  2. Step 2: Convert to fraction form
    344,919.50/515,255 = 515,255/x
  3. Step 3: Cross multiply
    344,919.50x = 515,255 × 515,255
  4. Step 4: Simplify right side
    344,919.50x = 265,487,715,025
  5. Step 5: Solve for x
    x = 265,487,715,025/344,919.50
  6. Step 6: Final answer
    x = 769,709.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.