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Finding the Third Proportional to 9,858.38 and 20,177.44

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Solution

The third proportional to 9,858.38 and 20,177.44 is: 41,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.38 : 20,177.44 = 20,177.44 : x
  2. Step 2: Convert to fraction form
    9,858.38/20,177.44 = 20,177.44/x
  3. Step 3: Cross multiply
    9,858.38x = 20,177.44 × 20,177.44
  4. Step 4: Simplify right side
    9,858.38x = 407,128,984.07
  5. Step 5: Solve for x
    x = 407,128,984.07/9,858.38
  6. Step 6: Final answer
    x = 41,297.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.