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Finding the Third Proportional to 19,674 and 40,372

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Solution

The third proportional to 19,674 and 40,372 is: 82,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 40,372 = 40,372 : x
  2. Step 2: Convert to fraction form
    19,674/40,372 = 40,372/x
  3. Step 3: Cross multiply
    19,674x = 40,372 × 40,372
  4. Step 4: Simplify right side
    19,674x = 1,629,898,384
  5. Step 5: Solve for x
    x = 1,629,898,384/19,674
  6. Step 6: Final answer
    x = 82,845.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.