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Finding the Third Proportional to 84,200 and 121,644

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Solution

The third proportional to 84,200 and 121,644 is: 175,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200 : 121,644 = 121,644 : x
  2. Step 2: Convert to fraction form
    84,200/121,644 = 121,644/x
  3. Step 3: Cross multiply
    84,200x = 121,644 × 121,644
  4. Step 4: Simplify right side
    84,200x = 14,797,262,736
  5. Step 5: Solve for x
    x = 14,797,262,736/84,200
  6. Step 6: Final answer
    x = 175,739.46

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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.