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Finding the Third Proportional to 84,212 and 121,662

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Solution

The third proportional to 84,212 and 121,662 is: 175,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212 : 121,662 = 121,662 : x
  2. Step 2: Convert to fraction form
    84,212/121,662 = 121,662/x
  3. Step 3: Cross multiply
    84,212x = 121,662 × 121,662
  4. Step 4: Simplify right side
    84,212x = 14,801,642,244
  5. Step 5: Solve for x
    x = 14,801,642,244/84,212
  6. Step 6: Final answer
    x = 175,766.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.