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Finding the Third Proportional to 338,709.94 and 498,708.56

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Solution

The third proportional to 338,709.94 and 498,708.56 is: 734,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,709.94 : 498,708.56 = 498,708.56 : x
  2. Step 2: Convert to fraction form
    338,709.94/498,708.56 = 498,708.56/x
  3. Step 3: Cross multiply
    338,709.94x = 498,708.56 × 498,708.56
  4. Step 4: Simplify right side
    338,709.94x = 248,710,230,310.82
  5. Step 5: Solve for x
    x = 248,710,230,310.82/338,709.94
  6. Step 6: Final answer
    x = 734,286.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.