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Finding the Third Proportional to 8,142 and 18,921

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Solution

The third proportional to 8,142 and 18,921 is: 43,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 18,921 = 18,921 : x
  2. Step 2: Convert to fraction form
    8,142/18,921 = 18,921/x
  3. Step 3: Cross multiply
    8,142x = 18,921 × 18,921
  4. Step 4: Simplify right side
    8,142x = 358,004,241
  5. Step 5: Solve for x
    x = 358,004,241/8,142
  6. Step 6: Final answer
    x = 43,970.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.