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Finding the Third Proportional to 85,571 and 133,191

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Solution

The third proportional to 85,571 and 133,191 is: 207,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,571 : 133,191 = 133,191 : x
  2. Step 2: Convert to fraction form
    85,571/133,191 = 133,191/x
  3. Step 3: Cross multiply
    85,571x = 133,191 × 133,191
  4. Step 4: Simplify right side
    85,571x = 17,739,842,481
  5. Step 5: Solve for x
    x = 17,739,842,481/85,571
  6. Step 6: Final answer
    x = 207,311.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.