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Finding the Third Proportional to 192,464 and 277,236

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Solution

The third proportional to 192,464 and 277,236 is: 399,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464 : 277,236 = 277,236 : x
  2. Step 2: Convert to fraction form
    192,464/277,236 = 277,236/x
  3. Step 3: Cross multiply
    192,464x = 277,236 × 277,236
  4. Step 4: Simplify right side
    192,464x = 76,859,799,696
  5. Step 5: Solve for x
    x = 76,859,799,696/192,464
  6. Step 6: Final answer
    x = 399,346.37

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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.