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Finding the Third Proportional to 8,020.69 and 18,739.69

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Solution

The third proportional to 8,020.69 and 18,739.69 is: 43,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.69 : 18,739.69 = 18,739.69 : x
  2. Step 2: Convert to fraction form
    8,020.69/18,739.69 = 18,739.69/x
  3. Step 3: Cross multiply
    8,020.69x = 18,739.69 × 18,739.69
  4. Step 4: Simplify right side
    8,020.69x = 351,175,887.60
  5. Step 5: Solve for x
    x = 351,175,887.60/8,020.69
  6. Step 6: Final answer
    x = 43,783.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.