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Finding the Third Proportional to 8,156 and 19,846

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Solution

The third proportional to 8,156 and 19,846 is: 48,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156 : 19,846 = 19,846 : x
  2. Step 2: Convert to fraction form
    8,156/19,846 = 19,846/x
  3. Step 3: Cross multiply
    8,156x = 19,846 × 19,846
  4. Step 4: Simplify right side
    8,156x = 393,863,716
  5. Step 5: Solve for x
    x = 393,863,716/8,156
  6. Step 6: Final answer
    x = 48,291.28

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.