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Finding the Third Proportional to 131,308 and 192,305

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Solution

The third proportional to 131,308 and 192,305 is: 281,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,308 : 192,305 = 192,305 : x
  2. Step 2: Convert to fraction form
    131,308/192,305 = 192,305/x
  3. Step 3: Cross multiply
    131,308x = 192,305 × 192,305
  4. Step 4: Simplify right side
    131,308x = 36,981,213,025
  5. Step 5: Solve for x
    x = 36,981,213,025/131,308
  6. Step 6: Final answer
    x = 281,637.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.