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Finding the Third Proportional to 81,108 and 173,425

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Solution

The third proportional to 81,108 and 173,425 is: 370,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,108 : 173,425 = 173,425 : x
  2. Step 2: Convert to fraction form
    81,108/173,425 = 173,425/x
  3. Step 3: Cross multiply
    81,108x = 173,425 × 173,425
  4. Step 4: Simplify right side
    81,108x = 30,076,230,625
  5. Step 5: Solve for x
    x = 30,076,230,625/81,108
  6. Step 6: Final answer
    x = 370,817.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.