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Finding the Third Proportional to 192,460 and 277,232

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Solution

The third proportional to 192,460 and 277,232 is: 399,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,460 : 277,232 = 277,232 : x
  2. Step 2: Convert to fraction form
    192,460/277,232 = 277,232/x
  3. Step 3: Cross multiply
    192,460x = 277,232 × 277,232
  4. Step 4: Simplify right side
    192,460x = 76,857,581,824
  5. Step 5: Solve for x
    x = 76,857,581,824/192,460
  6. Step 6: Final answer
    x = 399,343.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.