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Finding the Third Proportional to 311,451 and 487,936

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Solution

The third proportional to 311,451 and 487,936 is: 764,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,451 : 487,936 = 487,936 : x
  2. Step 2: Convert to fraction form
    311,451/487,936 = 487,936/x
  3. Step 3: Cross multiply
    311,451x = 487,936 × 487,936
  4. Step 4: Simplify right side
    311,451x = 238,081,540,096
  5. Step 5: Solve for x
    x = 238,081,540,096/311,451
  6. Step 6: Final answer
    x = 764,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.