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Finding the Third Proportional to 121,848 and 181,761

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Solution

The third proportional to 121,848 and 181,761 is: 271,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,848 : 181,761 = 181,761 : x
  2. Step 2: Convert to fraction form
    121,848/181,761 = 181,761/x
  3. Step 3: Cross multiply
    121,848x = 181,761 × 181,761
  4. Step 4: Simplify right side
    121,848x = 33,037,061,121
  5. Step 5: Solve for x
    x = 33,037,061,121/121,848
  6. Step 6: Final answer
    x = 271,133.39

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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.