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Finding the Third Proportional to 20,100 and 30,969

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Solution

The third proportional to 20,100 and 30,969 is: 47,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100 : 30,969 = 30,969 : x
  2. Step 2: Convert to fraction form
    20,100/30,969 = 30,969/x
  3. Step 3: Cross multiply
    20,100x = 30,969 × 30,969
  4. Step 4: Simplify right side
    20,100x = 959,078,961
  5. Step 5: Solve for x
    x = 959,078,961/20,100
  6. Step 6: Final answer
    x = 47,715.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.