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Finding the Third Proportional to 137,980 and 210,980

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Solution

The third proportional to 137,980 and 210,980 is: 322,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980 : 210,980 = 210,980 : x
  2. Step 2: Convert to fraction form
    137,980/210,980 = 210,980/x
  3. Step 3: Cross multiply
    137,980x = 210,980 × 210,980
  4. Step 4: Simplify right side
    137,980x = 44,512,560,400
  5. Step 5: Solve for x
    x = 44,512,560,400/137,980
  6. Step 6: Final answer
    x = 322,601.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.