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Finding the Third Proportional to 11,855 and 25,681

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Solution

The third proportional to 11,855 and 25,681 is: 55,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855 : 25,681 = 25,681 : x
  2. Step 2: Convert to fraction form
    11,855/25,681 = 25,681/x
  3. Step 3: Cross multiply
    11,855x = 25,681 × 25,681
  4. Step 4: Simplify right side
    11,855x = 659,513,761
  5. Step 5: Solve for x
    x = 659,513,761/11,855
  6. Step 6: Final answer
    x = 55,631.70

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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.