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Finding the Third Proportional to 4,200 and 8,823

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Solution

The third proportional to 4,200 and 8,823 is: 18,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 8,823 = 8,823 : x
  2. Step 2: Convert to fraction form
    4,200/8,823 = 8,823/x
  3. Step 3: Cross multiply
    4,200x = 8,823 × 8,823
  4. Step 4: Simplify right side
    4,200x = 77,845,329
  5. Step 5: Solve for x
    x = 77,845,329/4,200
  6. Step 6: Final answer
    x = 18,534.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.