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Finding the Third Proportional to 88,908 and 193,794

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Solution

The third proportional to 88,908 and 193,794 is: 422,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,908 : 193,794 = 193,794 : x
  2. Step 2: Convert to fraction form
    88,908/193,794 = 193,794/x
  3. Step 3: Cross multiply
    88,908x = 193,794 × 193,794
  4. Step 4: Simplify right side
    88,908x = 37,556,114,436
  5. Step 5: Solve for x
    x = 37,556,114,436/88,908
  6. Step 6: Final answer
    x = 422,415.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.