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Finding the Third Proportional to 12,378 and 29,191

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Solution

The third proportional to 12,378 and 29,191 is: 68,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 29,191 = 29,191 : x
  2. Step 2: Convert to fraction form
    12,378/29,191 = 29,191/x
  3. Step 3: Cross multiply
    12,378x = 29,191 × 29,191
  4. Step 4: Simplify right side
    12,378x = 852,114,481
  5. Step 5: Solve for x
    x = 852,114,481/12,378
  6. Step 6: Final answer
    x = 68,841.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.