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Finding the Third Proportional to 7,861 and 17,179

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Solution

The third proportional to 7,861 and 17,179 is: 37,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861 : 17,179 = 17,179 : x
  2. Step 2: Convert to fraction form
    7,861/17,179 = 17,179/x
  3. Step 3: Cross multiply
    7,861x = 17,179 × 17,179
  4. Step 4: Simplify right side
    7,861x = 295,118,041
  5. Step 5: Solve for x
    x = 295,118,041/7,861
  6. Step 6: Final answer
    x = 37,542.05

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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.