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Finding the Third Proportional to 10,072 and 20,180

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Solution

The third proportional to 10,072 and 20,180 is: 40,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 20,180 = 20,180 : x
  2. Step 2: Convert to fraction form
    10,072/20,180 = 20,180/x
  3. Step 3: Cross multiply
    10,072x = 20,180 × 20,180
  4. Step 4: Simplify right side
    10,072x = 407,232,400
  5. Step 5: Solve for x
    x = 407,232,400/10,072
  6. Step 6: Final answer
    x = 40,432.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.