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Finding the Third Proportional to 311,976 and 456,264

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Solution

The third proportional to 311,976 and 456,264 is: 667,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,976 : 456,264 = 456,264 : x
  2. Step 2: Convert to fraction form
    311,976/456,264 = 456,264/x
  3. Step 3: Cross multiply
    311,976x = 456,264 × 456,264
  4. Step 4: Simplify right side
    311,976x = 208,176,837,696
  5. Step 5: Solve for x
    x = 208,176,837,696/311,976
  6. Step 6: Final answer
    x = 667,284.78

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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.