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Finding the Third Proportional to 128,954 and 190,971

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Solution

The third proportional to 128,954 and 190,971 is: 282,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,954 : 190,971 = 190,971 : x
  2. Step 2: Convert to fraction form
    128,954/190,971 = 190,971/x
  3. Step 3: Cross multiply
    128,954x = 190,971 × 190,971
  4. Step 4: Simplify right side
    128,954x = 36,469,922,841
  5. Step 5: Solve for x
    x = 36,469,922,841/128,954
  6. Step 6: Final answer
    x = 282,813.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.