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Finding the Third Proportional to 66,760 and 89,177

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Solution

The third proportional to 66,760 and 89,177 is: 119,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,760 : 89,177 = 89,177 : x
  2. Step 2: Convert to fraction form
    66,760/89,177 = 89,177/x
  3. Step 3: Cross multiply
    66,760x = 89,177 × 89,177
  4. Step 4: Simplify right side
    66,760x = 7,952,537,329
  5. Step 5: Solve for x
    x = 7,952,537,329/66,760
  6. Step 6: Final answer
    x = 119,121.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.