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Finding the Third Proportional to 289,749.94 and 443,266.88

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Solution

The third proportional to 289,749.94 and 443,266.88 is: 678,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,749.94 : 443,266.88 = 443,266.88 : x
  2. Step 2: Convert to fraction form
    289,749.94/443,266.88 = 443,266.88/x
  3. Step 3: Cross multiply
    289,749.94x = 443,266.88 × 443,266.88
  4. Step 4: Simplify right side
    289,749.94x = 196,485,522,472.27
  5. Step 5: Solve for x
    x = 196,485,522,472.27/289,749.94
  6. Step 6: Final answer
    x = 678,121.02

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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.