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Finding the Third Proportional to 19,977 and 40,521

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Solution

The third proportional to 19,977 and 40,521 is: 82,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977 : 40,521 = 40,521 : x
  2. Step 2: Convert to fraction form
    19,977/40,521 = 40,521/x
  3. Step 3: Cross multiply
    19,977x = 40,521 × 40,521
  4. Step 4: Simplify right side
    19,977x = 1,641,951,441
  5. Step 5: Solve for x
    x = 1,641,951,441/19,977
  6. Step 6: Final answer
    x = 82,192.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.