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Finding the Third Proportional to 13,138 and 29,191

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Solution

The third proportional to 13,138 and 29,191 is: 64,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138 : 29,191 = 29,191 : x
  2. Step 2: Convert to fraction form
    13,138/29,191 = 29,191/x
  3. Step 3: Cross multiply
    13,138x = 29,191 × 29,191
  4. Step 4: Simplify right side
    13,138x = 852,114,481
  5. Step 5: Solve for x
    x = 852,114,481/13,138
  6. Step 6: Final answer
    x = 64,858.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.