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Finding the Third Proportional to 12,921 and 28,263

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Solution

The third proportional to 12,921 and 28,263 is: 61,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921 : 28,263 = 28,263 : x
  2. Step 2: Convert to fraction form
    12,921/28,263 = 28,263/x
  3. Step 3: Cross multiply
    12,921x = 28,263 × 28,263
  4. Step 4: Simplify right side
    12,921x = 798,797,169
  5. Step 5: Solve for x
    x = 798,797,169/12,921
  6. Step 6: Final answer
    x = 61,821.62

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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.