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Finding the Third Proportional to 128,858 and 192,687

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Solution

The third proportional to 128,858 and 192,687 is: 288,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,858 : 192,687 = 192,687 : x
  2. Step 2: Convert to fraction form
    128,858/192,687 = 192,687/x
  3. Step 3: Cross multiply
    128,858x = 192,687 × 192,687
  4. Step 4: Simplify right side
    128,858x = 37,128,279,969
  5. Step 5: Solve for x
    x = 37,128,279,969/128,858
  6. Step 6: Final answer
    x = 288,133.29

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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.