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Finding the Third Proportional to 144,200 and 192,890

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Solution

The third proportional to 144,200 and 192,890 is: 258,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,200 : 192,890 = 192,890 : x
  2. Step 2: Convert to fraction form
    144,200/192,890 = 192,890/x
  3. Step 3: Cross multiply
    144,200x = 192,890 × 192,890
  4. Step 4: Simplify right side
    144,200x = 37,206,552,100
  5. Step 5: Solve for x
    x = 37,206,552,100/144,200
  6. Step 6: Final answer
    x = 258,020.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.