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Finding the Third Proportional to 40,836 and 84,228

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Solution

The third proportional to 40,836 and 84,228 is: 173,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,836 : 84,228 = 84,228 : x
  2. Step 2: Convert to fraction form
    40,836/84,228 = 84,228/x
  3. Step 3: Cross multiply
    40,836x = 84,228 × 84,228
  4. Step 4: Simplify right side
    40,836x = 7,094,355,984
  5. Step 5: Solve for x
    x = 7,094,355,984/40,836
  6. Step 6: Final answer
    x = 173,727.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.