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Finding the Third Proportional to 128,708 and 194,724.75

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Solution

The third proportional to 128,708 and 194,724.75 is: 294,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,708 : 194,724.75 = 194,724.75 : x
  2. Step 2: Convert to fraction form
    128,708/194,724.75 = 194,724.75/x
  3. Step 3: Cross multiply
    128,708x = 194,724.75 × 194,724.75
  4. Step 4: Simplify right side
    128,708x = 37,917,728,262.56
  5. Step 5: Solve for x
    x = 37,917,728,262.56/128,708
  6. Step 6: Final answer
    x = 294,602.73

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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.