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Finding the Third Proportional to 86,296 and 189,936

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Solution

The third proportional to 86,296 and 189,936 is: 418,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,296 : 189,936 = 189,936 : x
  2. Step 2: Convert to fraction form
    86,296/189,936 = 189,936/x
  3. Step 3: Cross multiply
    86,296x = 189,936 × 189,936
  4. Step 4: Simplify right side
    86,296x = 36,075,684,096
  5. Step 5: Solve for x
    x = 36,075,684,096/86,296
  6. Step 6: Final answer
    x = 418,045.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.