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Finding the Third Proportional to 81,191 and 121,456

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Solution

The third proportional to 81,191 and 121,456 is: 181,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,191 : 121,456 = 121,456 : x
  2. Step 2: Convert to fraction form
    81,191/121,456 = 121,456/x
  3. Step 3: Cross multiply
    81,191x = 121,456 × 121,456
  4. Step 4: Simplify right side
    81,191x = 14,751,559,936
  5. Step 5: Solve for x
    x = 14,751,559,936/81,191
  6. Step 6: Final answer
    x = 181,689.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.