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Finding the Third Proportional to 312,061 and 672,191

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Solution

The third proportional to 312,061 and 672,191 is: 1,447,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,061 : 672,191 = 672,191 : x
  2. Step 2: Convert to fraction form
    312,061/672,191 = 672,191/x
  3. Step 3: Cross multiply
    312,061x = 672,191 × 672,191
  4. Step 4: Simplify right side
    312,061x = 451,840,740,481
  5. Step 5: Solve for x
    x = 451,840,740,481/312,061
  6. Step 6: Final answer
    x = 1,447,924.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.