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Finding the Third Proportional to 81,227.25 and 121,167

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Solution

The third proportional to 81,227.25 and 121,167 is: 180,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,227.25 : 121,167 = 121,167 : x
  2. Step 2: Convert to fraction form
    81,227.25/121,167 = 121,167/x
  3. Step 3: Cross multiply
    81,227.25x = 121,167 × 121,167
  4. Step 4: Simplify right side
    81,227.25x = 14,681,441,889
  5. Step 5: Solve for x
    x = 14,681,441,889/81,227.25
  6. Step 6: Final answer
    x = 180,745.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.