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Finding the Third Proportional to 13,480 and 20,796

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Solution

The third proportional to 13,480 and 20,796 is: 32,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480 : 20,796 = 20,796 : x
  2. Step 2: Convert to fraction form
    13,480/20,796 = 20,796/x
  3. Step 3: Cross multiply
    13,480x = 20,796 × 20,796
  4. Step 4: Simplify right side
    13,480x = 432,473,616
  5. Step 5: Solve for x
    x = 432,473,616/13,480
  6. Step 6: Final answer
    x = 32,082.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.