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Finding the Third Proportional to 39,520 and 85,601

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Solution

The third proportional to 39,520 and 85,601 is: 185,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,520 : 85,601 = 85,601 : x
  2. Step 2: Convert to fraction form
    39,520/85,601 = 85,601/x
  3. Step 3: Cross multiply
    39,520x = 85,601 × 85,601
  4. Step 4: Simplify right side
    39,520x = 7,327,531,201
  5. Step 5: Solve for x
    x = 7,327,531,201/39,520
  6. Step 6: Final answer
    x = 185,413.24

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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.