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Finding the Third Proportional to 11,920 and 19,581

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Solution

The third proportional to 11,920 and 19,581 is: 32,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 19,581 = 19,581 : x
  2. Step 2: Convert to fraction form
    11,920/19,581 = 19,581/x
  3. Step 3: Cross multiply
    11,920x = 19,581 × 19,581
  4. Step 4: Simplify right side
    11,920x = 383,415,561
  5. Step 5: Solve for x
    x = 383,415,561/11,920
  6. Step 6: Final answer
    x = 32,165.73

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.