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Finding the Third Proportional to 13,440 and 17,920

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Solution

The third proportional to 13,440 and 17,920 is: 23,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440 : 17,920 = 17,920 : x
  2. Step 2: Convert to fraction form
    13,440/17,920 = 17,920/x
  3. Step 3: Cross multiply
    13,440x = 17,920 × 17,920
  4. Step 4: Simplify right side
    13,440x = 321,126,400
  5. Step 5: Solve for x
    x = 321,126,400/13,440
  6. Step 6: Final answer
    x = 23,893.33

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1.5x scale

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.