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Finding the Third Proportional to 8,456 and 18,853

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Solution

The third proportional to 8,456 and 18,853 is: 42,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456 : 18,853 = 18,853 : x
  2. Step 2: Convert to fraction form
    8,456/18,853 = 18,853/x
  3. Step 3: Cross multiply
    8,456x = 18,853 × 18,853
  4. Step 4: Simplify right side
    8,456x = 355,435,609
  5. Step 5: Solve for x
    x = 355,435,609/8,456
  6. Step 6: Final answer
    x = 42,033.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.