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Finding the Third Proportional to 12,940 and 19,796

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Solution

The third proportional to 12,940 and 19,796 is: 30,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940 : 19,796 = 19,796 : x
  2. Step 2: Convert to fraction form
    12,940/19,796 = 19,796/x
  3. Step 3: Cross multiply
    12,940x = 19,796 × 19,796
  4. Step 4: Simplify right side
    12,940x = 391,881,616
  5. Step 5: Solve for x
    x = 391,881,616/12,940
  6. Step 6: Final answer
    x = 30,284.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.