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Finding the Third Proportional to 97,980 and 143,189

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Solution

The third proportional to 97,980 and 143,189 is: 209,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,980 : 143,189 = 143,189 : x
  2. Step 2: Convert to fraction form
    97,980/143,189 = 143,189/x
  3. Step 3: Cross multiply
    97,980x = 143,189 × 143,189
  4. Step 4: Simplify right side
    97,980x = 20,503,089,721
  5. Step 5: Solve for x
    x = 20,503,089,721/97,980
  6. Step 6: Final answer
    x = 209,257.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.