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Finding the Third Proportional to 311,216 and 440,400

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Solution

The third proportional to 311,216 and 440,400 is: 623,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,216 : 440,400 = 440,400 : x
  2. Step 2: Convert to fraction form
    311,216/440,400 = 440,400/x
  3. Step 3: Cross multiply
    311,216x = 440,400 × 440,400
  4. Step 4: Simplify right side
    311,216x = 193,952,160,000
  5. Step 5: Solve for x
    x = 193,952,160,000/311,216
  6. Step 6: Final answer
    x = 623,207.55

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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.