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Finding the Third Proportional to 8,833 and 13,098

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Solution

The third proportional to 8,833 and 13,098 is: 19,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833 : 13,098 = 13,098 : x
  2. Step 2: Convert to fraction form
    8,833/13,098 = 13,098/x
  3. Step 3: Cross multiply
    8,833x = 13,098 × 13,098
  4. Step 4: Simplify right side
    8,833x = 171,557,604
  5. Step 5: Solve for x
    x = 171,557,604/8,833
  6. Step 6: Final answer
    x = 19,422.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.