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Finding the Third Proportional to 156,805 and 344,824

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Solution

The third proportional to 156,805 and 344,824 is: 758,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,805 : 344,824 = 344,824 : x
  2. Step 2: Convert to fraction form
    156,805/344,824 = 344,824/x
  3. Step 3: Cross multiply
    156,805x = 344,824 × 344,824
  4. Step 4: Simplify right side
    156,805x = 118,903,590,976
  5. Step 5: Solve for x
    x = 118,903,590,976/156,805
  6. Step 6: Final answer
    x = 758,289.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.