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Finding the Third Proportional to 20,112 and 30,501

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Solution

The third proportional to 20,112 and 30,501 is: 46,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 30,501 = 30,501 : x
  2. Step 2: Convert to fraction form
    20,112/30,501 = 30,501/x
  3. Step 3: Cross multiply
    20,112x = 30,501 × 30,501
  4. Step 4: Simplify right side
    20,112x = 930,311,001
  5. Step 5: Solve for x
    x = 930,311,001/20,112
  6. Step 6: Final answer
    x = 46,256.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.