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Finding the Third Proportional to 128,028.09 and 184,429.41

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Solution

The third proportional to 128,028.09 and 184,429.41 is: 265,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,028.09 : 184,429.41 = 184,429.41 : x
  2. Step 2: Convert to fraction form
    128,028.09/184,429.41 = 184,429.41/x
  3. Step 3: Cross multiply
    128,028.09x = 184,429.41 × 184,429.41
  4. Step 4: Simplify right side
    128,028.09x = 34,014,205,889.73
  5. Step 5: Solve for x
    x = 34,014,205,889.73/128,028.09
  6. Step 6: Final answer
    x = 265,677.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.