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Finding the Third Proportional to 192,292 and 263,810

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Solution

The third proportional to 192,292 and 263,810 is: 361,927.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,292 : 263,810 = 263,810 : x
  2. Step 2: Convert to fraction form
    192,292/263,810 = 263,810/x
  3. Step 3: Cross multiply
    192,292x = 263,810 × 263,810
  4. Step 4: Simplify right side
    192,292x = 69,595,716,100
  5. Step 5: Solve for x
    x = 69,595,716,100/192,292
  6. Step 6: Final answer
    x = 361,927.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.