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Finding the Third Proportional to 92,279 and 121,170

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Solution

The third proportional to 92,279 and 121,170 is: 159,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,279 : 121,170 = 121,170 : x
  2. Step 2: Convert to fraction form
    92,279/121,170 = 121,170/x
  3. Step 3: Cross multiply
    92,279x = 121,170 × 121,170
  4. Step 4: Simplify right side
    92,279x = 14,682,168,900
  5. Step 5: Solve for x
    x = 14,682,168,900/92,279
  6. Step 6: Final answer
    x = 159,106.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.