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Finding the Third Proportional to 12,790 and 15,670

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Solution

The third proportional to 12,790 and 15,670 is: 19,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790 : 15,670 = 15,670 : x
  2. Step 2: Convert to fraction form
    12,790/15,670 = 15,670/x
  3. Step 3: Cross multiply
    12,790x = 15,670 × 15,670
  4. Step 4: Simplify right side
    12,790x = 245,548,900
  5. Step 5: Solve for x
    x = 245,548,900/12,790
  6. Step 6: Final answer
    x = 19,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.