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Finding the Third Proportional to 99,754 and 139,975

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Solution

The third proportional to 99,754 and 139,975 is: 196,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,754 : 139,975 = 139,975 : x
  2. Step 2: Convert to fraction form
    99,754/139,975 = 139,975/x
  3. Step 3: Cross multiply
    99,754x = 139,975 × 139,975
  4. Step 4: Simplify right side
    99,754x = 19,593,000,625
  5. Step 5: Solve for x
    x = 19,593,000,625/99,754
  6. Step 6: Final answer
    x = 196,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.