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Finding the Third Proportional to 289,754.44 and 443,243.81

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Solution

The third proportional to 289,754.44 and 443,243.81 is: 678,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,754.44 : 443,243.81 = 443,243.81 : x
  2. Step 2: Convert to fraction form
    289,754.44/443,243.81 = 443,243.81/x
  3. Step 3: Cross multiply
    289,754.44x = 443,243.81 × 443,243.81
  4. Step 4: Simplify right side
    289,754.44x = 196,465,077,319.54
  5. Step 5: Solve for x
    x = 196,465,077,319.54/289,754.44
  6. Step 6: Final answer
    x = 678,039.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.