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Finding the Third Proportional to 12,226 and 13,288

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Solution

The third proportional to 12,226 and 13,288 is: 14,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226 : 13,288 = 13,288 : x
  2. Step 2: Convert to fraction form
    12,226/13,288 = 13,288/x
  3. Step 3: Cross multiply
    12,226x = 13,288 × 13,288
  4. Step 4: Simplify right side
    12,226x = 176,570,944
  5. Step 5: Solve for x
    x = 176,570,944/12,226
  6. Step 6: Final answer
    x = 14,442.25

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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.