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Finding the Third Proportional to 21,874 and 45,206

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Solution

The third proportional to 21,874 and 45,206 is: 93,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 45,206 = 45,206 : x
  2. Step 2: Convert to fraction form
    21,874/45,206 = 45,206/x
  3. Step 3: Cross multiply
    21,874x = 45,206 × 45,206
  4. Step 4: Simplify right side
    21,874x = 2,043,582,436
  5. Step 5: Solve for x
    x = 2,043,582,436/21,874
  6. Step 6: Final answer
    x = 93,425.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.