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Finding the Third Proportional to 79,390 and 171,244

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Solution

The third proportional to 79,390 and 171,244 is: 369,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,390 : 171,244 = 171,244 : x
  2. Step 2: Convert to fraction form
    79,390/171,244 = 171,244/x
  3. Step 3: Cross multiply
    79,390x = 171,244 × 171,244
  4. Step 4: Simplify right side
    79,390x = 29,324,507,536
  5. Step 5: Solve for x
    x = 29,324,507,536/79,390
  6. Step 6: Final answer
    x = 369,372.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.