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Finding the Third Proportional to 20,422 and 41,709

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Solution

The third proportional to 20,422 and 41,709 is: 85,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422 : 41,709 = 41,709 : x
  2. Step 2: Convert to fraction form
    20,422/41,709 = 41,709/x
  3. Step 3: Cross multiply
    20,422x = 41,709 × 41,709
  4. Step 4: Simplify right side
    20,422x = 1,739,640,681
  5. Step 5: Solve for x
    x = 1,739,640,681/20,422
  6. Step 6: Final answer
    x = 85,184.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.