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Finding the Third Proportional to 311,956 and 687,464

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Solution

The third proportional to 311,956 and 687,464 is: 1,514,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956 : 687,464 = 687,464 : x
  2. Step 2: Convert to fraction form
    311,956/687,464 = 687,464/x
  3. Step 3: Cross multiply
    311,956x = 687,464 × 687,464
  4. Step 4: Simplify right side
    311,956x = 472,606,751,296
  5. Step 5: Solve for x
    x = 472,606,751,296/311,956
  6. Step 6: Final answer
    x = 1,514,978.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.