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Finding the Third Proportional to 12,009 and 26,205

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Solution

The third proportional to 12,009 and 26,205 is: 57,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009 : 26,205 = 26,205 : x
  2. Step 2: Convert to fraction form
    12,009/26,205 = 26,205/x
  3. Step 3: Cross multiply
    12,009x = 26,205 × 26,205
  4. Step 4: Simplify right side
    12,009x = 686,702,025
  5. Step 5: Solve for x
    x = 686,702,025/12,009
  6. Step 6: Final answer
    x = 57,182.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.