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Finding the Third Proportional to 312,189 and 467,031

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Solution

The third proportional to 312,189 and 467,031 is: 698,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,189 : 467,031 = 467,031 : x
  2. Step 2: Convert to fraction form
    312,189/467,031 = 467,031/x
  3. Step 3: Cross multiply
    312,189x = 467,031 × 467,031
  4. Step 4: Simplify right side
    312,189x = 218,117,954,961
  5. Step 5: Solve for x
    x = 218,117,954,961/312,189
  6. Step 6: Final answer
    x = 698,672.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.