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Finding the Third Proportional to 17,890 and 38,090

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Solution

The third proportional to 17,890 and 38,090 is: 81,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890 : 38,090 = 38,090 : x
  2. Step 2: Convert to fraction form
    17,890/38,090 = 38,090/x
  3. Step 3: Cross multiply
    17,890x = 38,090 × 38,090
  4. Step 4: Simplify right side
    17,890x = 1,450,848,100
  5. Step 5: Solve for x
    x = 1,450,848,100/17,890
  6. Step 6: Final answer
    x = 81,098.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.