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Finding the Third Proportional to 12,225 and 13,287

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Solution

The third proportional to 12,225 and 13,287 is: 14,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225 : 13,287 = 13,287 : x
  2. Step 2: Convert to fraction form
    12,225/13,287 = 13,287/x
  3. Step 3: Cross multiply
    12,225x = 13,287 × 13,287
  4. Step 4: Simplify right side
    12,225x = 176,544,369
  5. Step 5: Solve for x
    x = 176,544,369/12,225
  6. Step 6: Final answer
    x = 14,441.26

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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.