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Finding the Third Proportional to 12,871 and 20,554

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Solution

The third proportional to 12,871 and 20,554 is: 32,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871 : 20,554 = 20,554 : x
  2. Step 2: Convert to fraction form
    12,871/20,554 = 20,554/x
  3. Step 3: Cross multiply
    12,871x = 20,554 × 20,554
  4. Step 4: Simplify right side
    12,871x = 422,466,916
  5. Step 5: Solve for x
    x = 422,466,916/12,871
  6. Step 6: Final answer
    x = 32,823.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.