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Finding the Third Proportional to 20,874 and 43,473

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Solution

The third proportional to 20,874 and 43,473 is: 90,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874 : 43,473 = 43,473 : x
  2. Step 2: Convert to fraction form
    20,874/43,473 = 43,473/x
  3. Step 3: Cross multiply
    20,874x = 43,473 × 43,473
  4. Step 4: Simplify right side
    20,874x = 1,889,901,729
  5. Step 5: Solve for x
    x = 1,889,901,729/20,874
  6. Step 6: Final answer
    x = 90,538.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.