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Finding the Third Proportional to 20,960 and 45,619

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Solution

The third proportional to 20,960 and 45,619 is: 99,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960 : 45,619 = 45,619 : x
  2. Step 2: Convert to fraction form
    20,960/45,619 = 45,619/x
  3. Step 3: Cross multiply
    20,960x = 45,619 × 45,619
  4. Step 4: Simplify right side
    20,960x = 2,081,093,161
  5. Step 5: Solve for x
    x = 2,081,093,161/20,960
  6. Step 6: Final answer
    x = 99,288.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.