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Finding the Third Proportional to 13,311 and 19,707

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Solution

The third proportional to 13,311 and 19,707 is: 29,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311 : 19,707 = 19,707 : x
  2. Step 2: Convert to fraction form
    13,311/19,707 = 19,707/x
  3. Step 3: Cross multiply
    13,311x = 19,707 × 19,707
  4. Step 4: Simplify right side
    13,311x = 388,365,849
  5. Step 5: Solve for x
    x = 388,365,849/13,311
  6. Step 6: Final answer
    x = 29,176.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.