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Finding the Third Proportional to 137,640 and 303,220

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Solution

The third proportional to 137,640 and 303,220 is: 667,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640 : 303,220 = 303,220 : x
  2. Step 2: Convert to fraction form
    137,640/303,220 = 303,220/x
  3. Step 3: Cross multiply
    137,640x = 303,220 × 303,220
  4. Step 4: Simplify right side
    137,640x = 91,942,368,400
  5. Step 5: Solve for x
    x = 91,942,368,400/137,640
  6. Step 6: Final answer
    x = 667,991.63

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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.