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Finding the Third Proportional to 8,235 and 20,479.50

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Solution

The third proportional to 8,235 and 20,479.50 is: 50,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 20,479.50 = 20,479.50 : x
  2. Step 2: Convert to fraction form
    8,235/20,479.50 = 20,479.50/x
  3. Step 3: Cross multiply
    8,235x = 20,479.50 × 20,479.50
  4. Step 4: Simplify right side
    8,235x = 419,409,920.25
  5. Step 5: Solve for x
    x = 419,409,920.25/8,235
  6. Step 6: Final answer
    x = 50,930.17

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.