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Finding the Third Proportional to 13,071 and 19,991

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Solution

The third proportional to 13,071 and 19,991 is: 30,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071 : 19,991 = 19,991 : x
  2. Step 2: Convert to fraction form
    13,071/19,991 = 19,991/x
  3. Step 3: Cross multiply
    13,071x = 19,991 × 19,991
  4. Step 4: Simplify right side
    13,071x = 399,640,081
  5. Step 5: Solve for x
    x = 399,640,081/13,071
  6. Step 6: Final answer
    x = 30,574.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.