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Finding the Third Proportional to 311,933 and 456,235

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Solution

The third proportional to 311,933 and 456,235 is: 667,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,933 : 456,235 = 456,235 : x
  2. Step 2: Convert to fraction form
    311,933/456,235 = 456,235/x
  3. Step 3: Cross multiply
    311,933x = 456,235 × 456,235
  4. Step 4: Simplify right side
    311,933x = 208,150,375,225
  5. Step 5: Solve for x
    x = 208,150,375,225/311,933
  6. Step 6: Final answer
    x = 667,291.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.