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Finding the Third Proportional to 128,815.75 and 194,633.75

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Solution

The third proportional to 128,815.75 and 194,633.75 is: 294,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,815.75 : 194,633.75 = 194,633.75 : x
  2. Step 2: Convert to fraction form
    128,815.75/194,633.75 = 194,633.75/x
  3. Step 3: Cross multiply
    128,815.75x = 194,633.75 × 194,633.75
  4. Step 4: Simplify right side
    128,815.75x = 37,882,296,639.06
  5. Step 5: Solve for x
    x = 37,882,296,639.06/128,815.75
  6. Step 6: Final answer
    x = 294,081.25

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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.