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Finding the Third Proportional to 66,733 and 145,081

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Solution

The third proportional to 66,733 and 145,081 is: 315,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,733 : 145,081 = 145,081 : x
  2. Step 2: Convert to fraction form
    66,733/145,081 = 145,081/x
  3. Step 3: Cross multiply
    66,733x = 145,081 × 145,081
  4. Step 4: Simplify right side
    66,733x = 21,048,496,561
  5. Step 5: Solve for x
    x = 21,048,496,561/66,733
  6. Step 6: Final answer
    x = 315,413.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.