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Finding the Third Proportional to 17,889 and 39,102

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Solution

The third proportional to 17,889 and 39,102 is: 85,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889 : 39,102 = 39,102 : x
  2. Step 2: Convert to fraction form
    17,889/39,102 = 39,102/x
  3. Step 3: Cross multiply
    17,889x = 39,102 × 39,102
  4. Step 4: Simplify right side
    17,889x = 1,528,966,404
  5. Step 5: Solve for x
    x = 1,528,966,404/17,889
  6. Step 6: Final answer
    x = 85,469.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.