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Finding the Third Proportional to 81,862 and 122,290

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Solution

The third proportional to 81,862 and 122,290 is: 182,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862 : 122,290 = 122,290 : x
  2. Step 2: Convert to fraction form
    81,862/122,290 = 122,290/x
  3. Step 3: Cross multiply
    81,862x = 122,290 × 122,290
  4. Step 4: Simplify right side
    81,862x = 14,954,844,100
  5. Step 5: Solve for x
    x = 14,954,844,100/81,862
  6. Step 6: Final answer
    x = 182,683.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.