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Finding the Third Proportional to 128,028 and 184,416

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Solution

The third proportional to 128,028 and 184,416 is: 265,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,028 : 184,416 = 184,416 : x
  2. Step 2: Convert to fraction form
    128,028/184,416 = 184,416/x
  3. Step 3: Cross multiply
    128,028x = 184,416 × 184,416
  4. Step 4: Simplify right side
    128,028x = 34,009,261,056
  5. Step 5: Solve for x
    x = 34,009,261,056/128,028
  6. Step 6: Final answer
    x = 265,639.24

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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.