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Finding the Third Proportional to 7,871 and 17,173

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Solution

The third proportional to 7,871 and 17,173 is: 37,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871 : 17,173 = 17,173 : x
  2. Step 2: Convert to fraction form
    7,871/17,173 = 17,173/x
  3. Step 3: Cross multiply
    7,871x = 17,173 × 17,173
  4. Step 4: Simplify right side
    7,871x = 294,911,929
  5. Step 5: Solve for x
    x = 294,911,929/7,871
  6. Step 6: Final answer
    x = 37,468.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.