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Finding the Third Proportional to 14,287 and 20,872

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Solution

The third proportional to 14,287 and 20,872 is: 30,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287 : 20,872 = 20,872 : x
  2. Step 2: Convert to fraction form
    14,287/20,872 = 20,872/x
  3. Step 3: Cross multiply
    14,287x = 20,872 × 20,872
  4. Step 4: Simplify right side
    14,287x = 435,640,384
  5. Step 5: Solve for x
    x = 435,640,384/14,287
  6. Step 6: Final answer
    x = 30,492.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.