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Finding the Third Proportional to 7,881 and 19,257

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Solution

The third proportional to 7,881 and 19,257 is: 47,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881 : 19,257 = 19,257 : x
  2. Step 2: Convert to fraction form
    7,881/19,257 = 19,257/x
  3. Step 3: Cross multiply
    7,881x = 19,257 × 19,257
  4. Step 4: Simplify right side
    7,881x = 370,832,049
  5. Step 5: Solve for x
    x = 370,832,049/7,881
  6. Step 6: Final answer
    x = 47,053.93

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.