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Finding the Third Proportional to 19,780 and 27,654

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Solution

The third proportional to 19,780 and 27,654 is: 38,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780 : 27,654 = 27,654 : x
  2. Step 2: Convert to fraction form
    19,780/27,654 = 27,654/x
  3. Step 3: Cross multiply
    19,780x = 27,654 × 27,654
  4. Step 4: Simplify right side
    19,780x = 764,743,716
  5. Step 5: Solve for x
    x = 764,743,716/19,780
  6. Step 6: Final answer
    x = 38,662.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.