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Finding the Third Proportional to 128,842.88 and 194,676.75

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Solution

The third proportional to 128,842.88 and 194,676.75 is: 294,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,842.88 : 194,676.75 = 194,676.75 : x
  2. Step 2: Convert to fraction form
    128,842.88/194,676.75 = 194,676.75/x
  3. Step 3: Cross multiply
    128,842.88x = 194,676.75 × 194,676.75
  4. Step 4: Simplify right side
    128,842.88x = 37,899,036,990.56
  5. Step 5: Solve for x
    x = 37,899,036,990.56/128,842.88
  6. Step 6: Final answer
    x = 294,149.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.