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Finding the Third Proportional to 12,996 and 19,670

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Solution

The third proportional to 12,996 and 19,670 is: 29,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 19,670 = 19,670 : x
  2. Step 2: Convert to fraction form
    12,996/19,670 = 19,670/x
  3. Step 3: Cross multiply
    12,996x = 19,670 × 19,670
  4. Step 4: Simplify right side
    12,996x = 386,908,900
  5. Step 5: Solve for x
    x = 386,908,900/12,996
  6. Step 6: Final answer
    x = 29,771.38

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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.