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Finding the Third Proportional to 311,116 and 635,352

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Solution

The third proportional to 311,116 and 635,352 is: 1,297,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,116 : 635,352 = 635,352 : x
  2. Step 2: Convert to fraction form
    311,116/635,352 = 635,352/x
  3. Step 3: Cross multiply
    311,116x = 635,352 × 635,352
  4. Step 4: Simplify right side
    311,116x = 403,672,163,904
  5. Step 5: Solve for x
    x = 403,672,163,904/311,116
  6. Step 6: Final answer
    x = 1,297,497.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.