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Finding the Third Proportional to 11,440 and 17,120

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Solution

The third proportional to 11,440 and 17,120 is: 25,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440 : 17,120 = 17,120 : x
  2. Step 2: Convert to fraction form
    11,440/17,120 = 17,120/x
  3. Step 3: Cross multiply
    11,440x = 17,120 × 17,120
  4. Step 4: Simplify right side
    11,440x = 293,094,400
  5. Step 5: Solve for x
    x = 293,094,400/11,440
  6. Step 6: Final answer
    x = 25,620.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.