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Finding the Third Proportional to 13,072 and 19,729

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Solution

The third proportional to 13,072 and 19,729 is: 29,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072 : 19,729 = 19,729 : x
  2. Step 2: Convert to fraction form
    13,072/19,729 = 19,729/x
  3. Step 3: Cross multiply
    13,072x = 19,729 × 19,729
  4. Step 4: Simplify right side
    13,072x = 389,233,441
  5. Step 5: Solve for x
    x = 389,233,441/13,072
  6. Step 6: Final answer
    x = 29,776.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.