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Finding the Third Proportional to 139,065.75 and 299,454.75

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Solution

The third proportional to 139,065.75 and 299,454.75 is: 644,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,065.75 : 299,454.75 = 299,454.75 : x
  2. Step 2: Convert to fraction form
    139,065.75/299,454.75 = 299,454.75/x
  3. Step 3: Cross multiply
    139,065.75x = 299,454.75 × 299,454.75
  4. Step 4: Simplify right side
    139,065.75x = 89,673,147,297.56
  5. Step 5: Solve for x
    x = 89,673,147,297.56/139,065.75
  6. Step 6: Final answer
    x = 644,825.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.