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Finding the Third Proportional to 18,723 and 28,203

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Solution

The third proportional to 18,723 and 28,203 is: 42,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723 : 28,203 = 28,203 : x
  2. Step 2: Convert to fraction form
    18,723/28,203 = 28,203/x
  3. Step 3: Cross multiply
    18,723x = 28,203 × 28,203
  4. Step 4: Simplify right side
    18,723x = 795,409,209
  5. Step 5: Solve for x
    x = 795,409,209/18,723
  6. Step 6: Final answer
    x = 42,483

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.