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Finding the Third Proportional to 19,743 and 28,578

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Solution

The third proportional to 19,743 and 28,578 is: 41,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743 : 28,578 = 28,578 : x
  2. Step 2: Convert to fraction form
    19,743/28,578 = 28,578/x
  3. Step 3: Cross multiply
    19,743x = 28,578 × 28,578
  4. Step 4: Simplify right side
    19,743x = 816,702,084
  5. Step 5: Solve for x
    x = 816,702,084/19,743
  6. Step 6: Final answer
    x = 41,366.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.