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Finding the Third Proportional to 8,370 and 19,828

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Solution

The third proportional to 8,370 and 19,828 is: 46,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370 : 19,828 = 19,828 : x
  2. Step 2: Convert to fraction form
    8,370/19,828 = 19,828/x
  3. Step 3: Cross multiply
    8,370x = 19,828 × 19,828
  4. Step 4: Simplify right side
    8,370x = 393,149,584
  5. Step 5: Solve for x
    x = 393,149,584/8,370
  6. Step 6: Final answer
    x = 46,971.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.