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Finding the Third Proportional to 311,164 and 635,468

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Solution

The third proportional to 311,164 and 635,468 is: 1,297,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,164 : 635,468 = 635,468 : x
  2. Step 2: Convert to fraction form
    311,164/635,468 = 635,468/x
  3. Step 3: Cross multiply
    311,164x = 635,468 × 635,468
  4. Step 4: Simplify right side
    311,164x = 403,819,579,024
  5. Step 5: Solve for x
    x = 403,819,579,024/311,164
  6. Step 6: Final answer
    x = 1,297,770.88

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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.