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Finding the Third Proportional to 42,066 and 91,968

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Solution

The third proportional to 42,066 and 91,968 is: 201,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 91,968 = 91,968 : x
  2. Step 2: Convert to fraction form
    42,066/91,968 = 91,968/x
  3. Step 3: Cross multiply
    42,066x = 91,968 × 91,968
  4. Step 4: Simplify right side
    42,066x = 8,458,113,024
  5. Step 5: Solve for x
    x = 8,458,113,024/42,066
  6. Step 6: Final answer
    x = 201,067.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.