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Finding the Third Proportional to 311,034 and 440,031

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Solution

The third proportional to 311,034 and 440,031 is: 622,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,034 : 440,031 = 440,031 : x
  2. Step 2: Convert to fraction form
    311,034/440,031 = 440,031/x
  3. Step 3: Cross multiply
    311,034x = 440,031 × 440,031
  4. Step 4: Simplify right side
    311,034x = 193,627,280,961
  5. Step 5: Solve for x
    x = 193,627,280,961/311,034
  6. Step 6: Final answer
    x = 622,527.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.