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Finding the Third Proportional to 10,257 and 21,378

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Solution

The third proportional to 10,257 and 21,378 is: 44,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257 : 21,378 = 21,378 : x
  2. Step 2: Convert to fraction form
    10,257/21,378 = 21,378/x
  3. Step 3: Cross multiply
    10,257x = 21,378 × 21,378
  4. Step 4: Simplify right side
    10,257x = 457,018,884
  5. Step 5: Solve for x
    x = 457,018,884/10,257
  6. Step 6: Final answer
    x = 44,556.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.