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Finding the Third Proportional to 12,405 and 25,251

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Solution

The third proportional to 12,405 and 25,251 is: 51,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405 : 25,251 = 25,251 : x
  2. Step 2: Convert to fraction form
    12,405/25,251 = 25,251/x
  3. Step 3: Cross multiply
    12,405x = 25,251 × 25,251
  4. Step 4: Simplify right side
    12,405x = 637,613,001
  5. Step 5: Solve for x
    x = 637,613,001/12,405
  6. Step 6: Final answer
    x = 51,399.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.