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Finding the Third Proportional to 12,777 and 19,833

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Solution

The third proportional to 12,777 and 19,833 is: 30,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777 : 19,833 = 19,833 : x
  2. Step 2: Convert to fraction form
    12,777/19,833 = 19,833/x
  3. Step 3: Cross multiply
    12,777x = 19,833 × 19,833
  4. Step 4: Simplify right side
    12,777x = 393,347,889
  5. Step 5: Solve for x
    x = 393,347,889/12,777
  6. Step 6: Final answer
    x = 30,785.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.