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Finding the Third Proportional to 30,638 and 44,620

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Solution

The third proportional to 30,638 and 44,620 is: 64,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638 : 44,620 = 44,620 : x
  2. Step 2: Convert to fraction form
    30,638/44,620 = 44,620/x
  3. Step 3: Cross multiply
    30,638x = 44,620 × 44,620
  4. Step 4: Simplify right side
    30,638x = 1,990,944,400
  5. Step 5: Solve for x
    x = 1,990,944,400/30,638
  6. Step 6: Final answer
    x = 64,982.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.