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Finding the Third Proportional to 128,109 and 192,575

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Solution

The third proportional to 128,109 and 192,575 is: 289,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,109 : 192,575 = 192,575 : x
  2. Step 2: Convert to fraction form
    128,109/192,575 = 192,575/x
  3. Step 3: Cross multiply
    128,109x = 192,575 × 192,575
  4. Step 4: Simplify right side
    128,109x = 37,085,130,625
  5. Step 5: Solve for x
    x = 37,085,130,625/128,109
  6. Step 6: Final answer
    x = 289,481.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.