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Finding the Third Proportional to 311,762 and 672,172

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Solution

The third proportional to 311,762 and 672,172 is: 1,449,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,762 : 672,172 = 672,172 : x
  2. Step 2: Convert to fraction form
    311,762/672,172 = 672,172/x
  3. Step 3: Cross multiply
    311,762x = 672,172 × 672,172
  4. Step 4: Simplify right side
    311,762x = 451,815,197,584
  5. Step 5: Solve for x
    x = 451,815,197,584/311,762
  6. Step 6: Final answer
    x = 1,449,231.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.