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Finding the Third Proportional to 20,216 and 38,851

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Solution

The third proportional to 20,216 and 38,851 is: 74,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216 : 38,851 = 38,851 : x
  2. Step 2: Convert to fraction form
    20,216/38,851 = 38,851/x
  3. Step 3: Cross multiply
    20,216x = 38,851 × 38,851
  4. Step 4: Simplify right side
    20,216x = 1,509,400,201
  5. Step 5: Solve for x
    x = 1,509,400,201/20,216
  6. Step 6: Final answer
    x = 74,663.64

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.