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Finding the Third Proportional to 12,128 and 18,209

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Solution

The third proportional to 12,128 and 18,209 is: 27,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128 : 18,209 = 18,209 : x
  2. Step 2: Convert to fraction form
    12,128/18,209 = 18,209/x
  3. Step 3: Cross multiply
    12,128x = 18,209 × 18,209
  4. Step 4: Simplify right side
    12,128x = 331,567,681
  5. Step 5: Solve for x
    x = 331,567,681/12,128
  6. Step 6: Final answer
    x = 27,339.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.