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Finding the Third Proportional to 121,170 and 185,991

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Solution

The third proportional to 121,170 and 185,991 is: 285,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,170 : 185,991 = 185,991 : x
  2. Step 2: Convert to fraction form
    121,170/185,991 = 185,991/x
  3. Step 3: Cross multiply
    121,170x = 185,991 × 185,991
  4. Step 4: Simplify right side
    121,170x = 34,592,652,081
  5. Step 5: Solve for x
    x = 34,592,652,081/121,170
  6. Step 6: Final answer
    x = 285,488.59

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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.