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Finding the Third Proportional to 11,698 and 25,420

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Solution

The third proportional to 11,698 and 25,420 is: 55,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 25,420 = 25,420 : x
  2. Step 2: Convert to fraction form
    11,698/25,420 = 25,420/x
  3. Step 3: Cross multiply
    11,698x = 25,420 × 25,420
  4. Step 4: Simplify right side
    11,698x = 646,176,400
  5. Step 5: Solve for x
    x = 646,176,400/11,698
  6. Step 6: Final answer
    x = 55,238.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.