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Finding the Third Proportional to 11,424 and 18,927.75

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Solution

The third proportional to 11,424 and 18,927.75 is: 31,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 18,927.75 = 18,927.75 : x
  2. Step 2: Convert to fraction form
    11,424/18,927.75 = 18,927.75/x
  3. Step 3: Cross multiply
    11,424x = 18,927.75 × 18,927.75
  4. Step 4: Simplify right side
    11,424x = 358,259,720.06
  5. Step 5: Solve for x
    x = 358,259,720.06/11,424
  6. Step 6: Final answer
    x = 31,360.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.