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Finding the Third Proportional to 12,206 and 13,340

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Solution

The third proportional to 12,206 and 13,340 is: 14,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 13,340 = 13,340 : x
  2. Step 2: Convert to fraction form
    12,206/13,340 = 13,340/x
  3. Step 3: Cross multiply
    12,206x = 13,340 × 13,340
  4. Step 4: Simplify right side
    12,206x = 177,955,600
  5. Step 5: Solve for x
    x = 177,955,600/12,206
  6. Step 6: Final answer
    x = 14,579.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.