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Finding the Third Proportional to 128,822.06 and 189,383.06

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Solution

The third proportional to 128,822.06 and 189,383.06 is: 278,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,822.06 : 189,383.06 = 189,383.06 : x
  2. Step 2: Convert to fraction form
    128,822.06/189,383.06 = 189,383.06/x
  3. Step 3: Cross multiply
    128,822.06x = 189,383.06 × 189,383.06
  4. Step 4: Simplify right side
    128,822.06x = 35,865,944,361.88
  5. Step 5: Solve for x
    x = 35,865,944,361.88/128,822.06
  6. Step 6: Final answer
    x = 278,414.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.