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Finding the Third Proportional to 85,576 and 133,197

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Solution

The third proportional to 85,576 and 133,197 is: 207,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,576 : 133,197 = 133,197 : x
  2. Step 2: Convert to fraction form
    85,576/133,197 = 133,197/x
  3. Step 3: Cross multiply
    85,576x = 133,197 × 133,197
  4. Step 4: Simplify right side
    85,576x = 17,741,440,809
  5. Step 5: Solve for x
    x = 17,741,440,809/85,576
  6. Step 6: Final answer
    x = 207,317.95

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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.