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Finding the Third Proportional to 11,520 and 17,486

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Solution

The third proportional to 11,520 and 17,486 is: 26,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 17,486 = 17,486 : x
  2. Step 2: Convert to fraction form
    11,520/17,486 = 17,486/x
  3. Step 3: Cross multiply
    11,520x = 17,486 × 17,486
  4. Step 4: Simplify right side
    11,520x = 305,760,196
  5. Step 5: Solve for x
    x = 305,760,196/11,520
  6. Step 6: Final answer
    x = 26,541.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.