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Finding the Third Proportional to 30,836 and 40,994

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Solution

The third proportional to 30,836 and 40,994 is: 54,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836 : 40,994 = 40,994 : x
  2. Step 2: Convert to fraction form
    30,836/40,994 = 40,994/x
  3. Step 3: Cross multiply
    30,836x = 40,994 × 40,994
  4. Step 4: Simplify right side
    30,836x = 1,680,508,036
  5. Step 5: Solve for x
    x = 1,680,508,036/30,836
  6. Step 6: Final answer
    x = 54,498.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.