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Finding the Third Proportional to 19,683 and 28,680.75

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Solution

The third proportional to 19,683 and 28,680.75 is: 41,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 28,680.75 = 28,680.75 : x
  2. Step 2: Convert to fraction form
    19,683/28,680.75 = 28,680.75/x
  3. Step 3: Cross multiply
    19,683x = 28,680.75 × 28,680.75
  4. Step 4: Simplify right side
    19,683x = 822,585,420.56
  5. Step 5: Solve for x
    x = 822,585,420.56/19,683
  6. Step 6: Final answer
    x = 41,791.67

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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.