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Finding the Third Proportional to 12,639 and 27,216

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Solution

The third proportional to 12,639 and 27,216 is: 58,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639 : 27,216 = 27,216 : x
  2. Step 2: Convert to fraction form
    12,639/27,216 = 27,216/x
  3. Step 3: Cross multiply
    12,639x = 27,216 × 27,216
  4. Step 4: Simplify right side
    12,639x = 740,710,656
  5. Step 5: Solve for x
    x = 740,710,656/12,639
  6. Step 6: Final answer
    x = 58,605.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.