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Finding the Third Proportional to 88,149.25 and 193,794.50

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Solution

The third proportional to 88,149.25 and 193,794.50 is: 426,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,149.25 : 193,794.50 = 193,794.50 : x
  2. Step 2: Convert to fraction form
    88,149.25/193,794.50 = 193,794.50/x
  3. Step 3: Cross multiply
    88,149.25x = 193,794.50 × 193,794.50
  4. Step 4: Simplify right side
    88,149.25x = 37,556,308,230.25
  5. Step 5: Solve for x
    x = 37,556,308,230.25/88,149.25
  6. Step 6: Final answer
    x = 426,053.63

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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.