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Finding the Third Proportional to 88,144 and 193,783

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Solution

The third proportional to 88,144 and 193,783 is: 426,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,144 : 193,783 = 193,783 : x
  2. Step 2: Convert to fraction form
    88,144/193,783 = 193,783/x
  3. Step 3: Cross multiply
    88,144x = 193,783 × 193,783
  4. Step 4: Simplify right side
    88,144x = 37,551,851,089
  5. Step 5: Solve for x
    x = 37,551,851,089/88,144
  6. Step 6: Final answer
    x = 426,028.44

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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.