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Finding the Third Proportional to 9,660 and 20,357

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Solution

The third proportional to 9,660 and 20,357 is: 42,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 20,357 = 20,357 : x
  2. Step 2: Convert to fraction form
    9,660/20,357 = 20,357/x
  3. Step 3: Cross multiply
    9,660x = 20,357 × 20,357
  4. Step 4: Simplify right side
    9,660x = 414,407,449
  5. Step 5: Solve for x
    x = 414,407,449/9,660
  6. Step 6: Final answer
    x = 42,899.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.