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Finding the Third Proportional to 198,699 and 279,093

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Solution

The third proportional to 198,699 and 279,093 is: 392,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699 : 279,093 = 279,093 : x
  2. Step 2: Convert to fraction form
    198,699/279,093 = 279,093/x
  3. Step 3: Cross multiply
    198,699x = 279,093 × 279,093
  4. Step 4: Simplify right side
    198,699x = 77,892,902,649
  5. Step 5: Solve for x
    x = 77,892,902,649/198,699
  6. Step 6: Final answer
    x = 392,014.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.