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Finding the Third Proportional to 20,840 and 45,005

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Solution

The third proportional to 20,840 and 45,005 is: 97,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840 : 45,005 = 45,005 : x
  2. Step 2: Convert to fraction form
    20,840/45,005 = 45,005/x
  3. Step 3: Cross multiply
    20,840x = 45,005 × 45,005
  4. Step 4: Simplify right side
    20,840x = 2,025,450,025
  5. Step 5: Solve for x
    x = 2,025,450,025/20,840
  6. Step 6: Final answer
    x = 97,190.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.