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Finding the Third Proportional to 311,069 and 440,085

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Solution

The third proportional to 311,069 and 440,085 is: 622,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 440,085 = 440,085 : x
  2. Step 2: Convert to fraction form
    311,069/440,085 = 440,085/x
  3. Step 3: Cross multiply
    311,069x = 440,085 × 440,085
  4. Step 4: Simplify right side
    311,069x = 193,674,807,225
  5. Step 5: Solve for x
    x = 193,674,807,225/311,069
  6. Step 6: Final answer
    x = 622,610.44

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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.