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Finding the Third Proportional to 17,817 and 38,489

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Solution

The third proportional to 17,817 and 38,489 is: 83,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817 : 38,489 = 38,489 : x
  2. Step 2: Convert to fraction form
    17,817/38,489 = 38,489/x
  3. Step 3: Cross multiply
    17,817x = 38,489 × 38,489
  4. Step 4: Simplify right side
    17,817x = 1,481,403,121
  5. Step 5: Solve for x
    x = 1,481,403,121/17,817
  6. Step 6: Final answer
    x = 83,145.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.