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Finding the Third Proportional to 20,796 and 45,968

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Solution

The third proportional to 20,796 and 45,968 is: 101,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796 : 45,968 = 45,968 : x
  2. Step 2: Convert to fraction form
    20,796/45,968 = 45,968/x
  3. Step 3: Cross multiply
    20,796x = 45,968 × 45,968
  4. Step 4: Simplify right side
    20,796x = 2,113,057,024
  5. Step 5: Solve for x
    x = 2,113,057,024/20,796
  6. Step 6: Final answer
    x = 101,608.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.