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Finding the Third Proportional to 88,150 and 193,796

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Solution

The third proportional to 88,150 and 193,796 is: 426,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,150 : 193,796 = 193,796 : x
  2. Step 2: Convert to fraction form
    88,150/193,796 = 193,796/x
  3. Step 3: Cross multiply
    88,150x = 193,796 × 193,796
  4. Step 4: Simplify right side
    88,150x = 37,556,889,616
  5. Step 5: Solve for x
    x = 37,556,889,616/88,150
  6. Step 6: Final answer
    x = 426,056.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.