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Finding the Third Proportional to 128,107.50 and 192,573

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Solution

The third proportional to 128,107.50 and 192,573 is: 289,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,107.50 : 192,573 = 192,573 : x
  2. Step 2: Convert to fraction form
    128,107.50/192,573 = 192,573/x
  3. Step 3: Cross multiply
    128,107.50x = 192,573 × 192,573
  4. Step 4: Simplify right side
    128,107.50x = 37,084,360,329
  5. Step 5: Solve for x
    x = 37,084,360,329/128,107.50
  6. Step 6: Final answer
    x = 289,478.45

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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.