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Finding the Third Proportional to 13,221 and 21,780

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Solution

The third proportional to 13,221 and 21,780 is: 35,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221 : 21,780 = 21,780 : x
  2. Step 2: Convert to fraction form
    13,221/21,780 = 21,780/x
  3. Step 3: Cross multiply
    13,221x = 21,780 × 21,780
  4. Step 4: Simplify right side
    13,221x = 474,368,400
  5. Step 5: Solve for x
    x = 474,368,400/13,221
  6. Step 6: Final answer
    x = 35,879.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.