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Finding the Third Proportional to 140,903 and 312,191

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Solution

The third proportional to 140,903 and 312,191 is: 691,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,903 : 312,191 = 312,191 : x
  2. Step 2: Convert to fraction form
    140,903/312,191 = 312,191/x
  3. Step 3: Cross multiply
    140,903x = 312,191 × 312,191
  4. Step 4: Simplify right side
    140,903x = 97,463,220,481
  5. Step 5: Solve for x
    x = 97,463,220,481/140,903
  6. Step 6: Final answer
    x = 691,704.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.