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Finding the Third Proportional to 17,871 and 39,270

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Solution

The third proportional to 17,871 and 39,270 is: 86,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871 : 39,270 = 39,270 : x
  2. Step 2: Convert to fraction form
    17,871/39,270 = 39,270/x
  3. Step 3: Cross multiply
    17,871x = 39,270 × 39,270
  4. Step 4: Simplify right side
    17,871x = 1,542,132,900
  5. Step 5: Solve for x
    x = 1,542,132,900/17,871
  6. Step 6: Final answer
    x = 86,292.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.