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Finding the Third Proportional to 311,221 and 440,407

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Solution

The third proportional to 311,221 and 440,407 is: 623,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,221 : 440,407 = 440,407 : x
  2. Step 2: Convert to fraction form
    311,221/440,407 = 440,407/x
  3. Step 3: Cross multiply
    311,221x = 440,407 × 440,407
  4. Step 4: Simplify right side
    311,221x = 193,958,325,649
  5. Step 5: Solve for x
    x = 193,958,325,649/311,221
  6. Step 6: Final answer
    x = 623,217.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.