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Finding the Third Proportional to 18,810 and 28,647

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Solution

The third proportional to 18,810 and 28,647 is: 43,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,810 : 28,647 = 28,647 : x
  2. Step 2: Convert to fraction form
    18,810/28,647 = 28,647/x
  3. Step 3: Cross multiply
    18,810x = 28,647 × 28,647
  4. Step 4: Simplify right side
    18,810x = 820,650,609
  5. Step 5: Solve for x
    x = 820,650,609/18,810
  6. Step 6: Final answer
    x = 43,628.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.