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Finding the Third Proportional to 289,769.91 and 443,259.84

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Solution

The third proportional to 289,769.91 and 443,259.84 is: 678,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,769.91 : 443,259.84 = 443,259.84 : x
  2. Step 2: Convert to fraction form
    289,769.91/443,259.84 = 443,259.84/x
  3. Step 3: Cross multiply
    289,769.91x = 443,259.84 × 443,259.84
  4. Step 4: Simplify right side
    289,769.91x = 196,479,289,081.27
  5. Step 5: Solve for x
    x = 196,479,289,081.27/289,769.91
  6. Step 6: Final answer
    x = 678,052.78

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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.