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Finding the Third Proportional to 11,259 and 14,721.75

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Solution

The third proportional to 11,259 and 14,721.75 is: 19,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 14,721.75 = 14,721.75 : x
  2. Step 2: Convert to fraction form
    11,259/14,721.75 = 14,721.75/x
  3. Step 3: Cross multiply
    11,259x = 14,721.75 × 14,721.75
  4. Step 4: Simplify right side
    11,259x = 216,729,923.06
  5. Step 5: Solve for x
    x = 216,729,923.06/11,259
  6. Step 6: Final answer
    x = 19,249.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.