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Finding the Third Proportional to 139,538.44 and 305,673.56

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Solution

The third proportional to 139,538.44 and 305,673.56 is: 669,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,538.44 : 305,673.56 = 305,673.56 : x
  2. Step 2: Convert to fraction form
    139,538.44/305,673.56 = 305,673.56/x
  3. Step 3: Cross multiply
    139,538.44x = 305,673.56 × 305,673.56
  4. Step 4: Simplify right side
    139,538.44x = 93,436,326,811.44
  5. Step 5: Solve for x
    x = 93,436,326,811.44/139,538.44
  6. Step 6: Final answer
    x = 669,609.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.