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Finding the Third Proportional to 173,648 and 356,512

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Solution

The third proportional to 173,648 and 356,512 is: 731,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,648 : 356,512 = 356,512 : x
  2. Step 2: Convert to fraction form
    173,648/356,512 = 356,512/x
  3. Step 3: Cross multiply
    173,648x = 356,512 × 356,512
  4. Step 4: Simplify right side
    173,648x = 127,100,806,144
  5. Step 5: Solve for x
    x = 127,100,806,144/173,648
  6. Step 6: Final answer
    x = 731,945.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.