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

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Solution

The third proportional to 20,619 and 45,960 is: 102,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,619 : 45,960 = 45,960 : x
  2. Step 2: Convert to fraction form
    20,619/45,960 = 45,960/x
  3. Step 3: Cross multiply
    20,619x = 45,960 × 45,960
  4. Step 4: Simplify right side
    20,619x = 2,112,321,600
  5. Step 5: Solve for x
    x = 2,112,321,600/20,619
  6. Step 6: Final answer
    x = 102,445.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.