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Finding the Third Proportional to 368,138.25 and 503,768.25

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Solution

The third proportional to 368,138.25 and 503,768.25 is: 689,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,138.25 : 503,768.25 = 503,768.25 : x
  2. Step 2: Convert to fraction form
    368,138.25/503,768.25 = 503,768.25/x
  3. Step 3: Cross multiply
    368,138.25x = 503,768.25 × 503,768.25
  4. Step 4: Simplify right side
    368,138.25x = 253,782,449,708.06
  5. Step 5: Solve for x
    x = 253,782,449,708.06/368,138.25
  6. Step 6: Final answer
    x = 689,367.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.