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Finding the Third Proportional to 20,448 and 27,479.25

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Solution

The third proportional to 20,448 and 27,479.25 is: 36,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 27,479.25 = 27,479.25 : x
  2. Step 2: Convert to fraction form
    20,448/27,479.25 = 27,479.25/x
  3. Step 3: Cross multiply
    20,448x = 27,479.25 × 27,479.25
  4. Step 4: Simplify right side
    20,448x = 755,109,180.56
  5. Step 5: Solve for x
    x = 755,109,180.56/20,448
  6. Step 6: Final answer
    x = 36,928.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.