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Finding the Third Proportional to 8,406 and 18,270

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Solution

The third proportional to 8,406 and 18,270 is: 39,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406 : 18,270 = 18,270 : x
  2. Step 2: Convert to fraction form
    8,406/18,270 = 18,270/x
  3. Step 3: Cross multiply
    8,406x = 18,270 × 18,270
  4. Step 4: Simplify right side
    8,406x = 333,792,900
  5. Step 5: Solve for x
    x = 333,792,900/8,406
  6. Step 6: Final answer
    x = 39,708.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.