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Finding the Third Proportional to 17,815 and 38,455

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Solution

The third proportional to 17,815 and 38,455 is: 83,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815 : 38,455 = 38,455 : x
  2. Step 2: Convert to fraction form
    17,815/38,455 = 38,455/x
  3. Step 3: Cross multiply
    17,815x = 38,455 × 38,455
  4. Step 4: Simplify right side
    17,815x = 1,478,787,025
  5. Step 5: Solve for x
    x = 1,478,787,025/17,815
  6. Step 6: Final answer
    x = 83,007.97

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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.