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Finding the Third Proportional to 11,882 and 15,854

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Solution

The third proportional to 11,882 and 15,854 is: 21,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 15,854 = 15,854 : x
  2. Step 2: Convert to fraction form
    11,882/15,854 = 15,854/x
  3. Step 3: Cross multiply
    11,882x = 15,854 × 15,854
  4. Step 4: Simplify right side
    11,882x = 251,349,316
  5. Step 5: Solve for x
    x = 251,349,316/11,882
  6. Step 6: Final answer
    x = 21,153.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.