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Finding the Third Proportional to 42,078 and 91,629

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Solution

The third proportional to 42,078 and 91,629 is: 199,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,078 : 91,629 = 91,629 : x
  2. Step 2: Convert to fraction form
    42,078/91,629 = 91,629/x
  3. Step 3: Cross multiply
    42,078x = 91,629 × 91,629
  4. Step 4: Simplify right side
    42,078x = 8,395,873,641
  5. Step 5: Solve for x
    x = 8,395,873,641/42,078
  6. Step 6: Final answer
    x = 199,531.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.