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Finding the Third Proportional to 11,557 and 15,177

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Solution

The third proportional to 11,557 and 15,177 is: 19,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 15,177 = 15,177 : x
  2. Step 2: Convert to fraction form
    11,557/15,177 = 15,177/x
  3. Step 3: Cross multiply
    11,557x = 15,177 × 15,177
  4. Step 4: Simplify right side
    11,557x = 230,341,329
  5. Step 5: Solve for x
    x = 230,341,329/11,557
  6. Step 6: Final answer
    x = 19,930.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.