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Finding the Third Proportional to 122,800 and 195,272

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Solution

The third proportional to 122,800 and 195,272 is: 310,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,800 : 195,272 = 195,272 : x
  2. Step 2: Convert to fraction form
    122,800/195,272 = 195,272/x
  3. Step 3: Cross multiply
    122,800x = 195,272 × 195,272
  4. Step 4: Simplify right side
    122,800x = 38,131,153,984
  5. Step 5: Solve for x
    x = 38,131,153,984/122,800
  6. Step 6: Final answer
    x = 310,514.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.