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Finding the Third Proportional to 17,617 and 38,515

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Solution

The third proportional to 17,617 and 38,515 is: 84,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617 : 38,515 = 38,515 : x
  2. Step 2: Convert to fraction form
    17,617/38,515 = 38,515/x
  3. Step 3: Cross multiply
    17,617x = 38,515 × 38,515
  4. Step 4: Simplify right side
    17,617x = 1,483,405,225
  5. Step 5: Solve for x
    x = 1,483,405,225/17,617
  6. Step 6: Final answer
    x = 84,203.06

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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.