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Finding the Third Proportional to 120,777.75 and 181,171.69

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Solution

The third proportional to 120,777.75 and 181,171.69 is: 271,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,777.75 : 181,171.69 = 181,171.69 : x
  2. Step 2: Convert to fraction form
    120,777.75/181,171.69 = 181,171.69/x
  3. Step 3: Cross multiply
    120,777.75x = 181,171.69 × 181,171.69
  4. Step 4: Simplify right side
    120,777.75x = 32,823,180,351.60
  5. Step 5: Solve for x
    x = 32,823,180,351.60/120,777.75
  6. Step 6: Final answer
    x = 271,765.13

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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.