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Finding the Third Proportional to 311,228 and 440,416

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Solution

The third proportional to 311,228 and 440,416 is: 623,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,228 : 440,416 = 440,416 : x
  2. Step 2: Convert to fraction form
    311,228/440,416 = 440,416/x
  3. Step 3: Cross multiply
    311,228x = 440,416 × 440,416
  4. Step 4: Simplify right side
    311,228x = 193,966,253,056
  5. Step 5: Solve for x
    x = 193,966,253,056/311,228
  6. Step 6: Final answer
    x = 623,228.80

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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.