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Finding the Third Proportional to 139,288.50 and 300,744

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Solution

The third proportional to 139,288.50 and 300,744 is: 649,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,288.50 : 300,744 = 300,744 : x
  2. Step 2: Convert to fraction form
    139,288.50/300,744 = 300,744/x
  3. Step 3: Cross multiply
    139,288.50x = 300,744 × 300,744
  4. Step 4: Simplify right side
    139,288.50x = 90,446,953,536
  5. Step 5: Solve for x
    x = 90,446,953,536/139,288.50
  6. Step 6: Final answer
    x = 649,349.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.