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Finding the Third Proportional to 1,789.17 and 3,939.05

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Solution

The third proportional to 1,789.17 and 3,939.05 is: 8,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.17 : 3,939.05 = 3,939.05 : x
  2. Step 2: Convert to fraction form
    1,789.17/3,939.05 = 3,939.05/x
  3. Step 3: Cross multiply
    1,789.17x = 3,939.05 × 3,939.05
  4. Step 4: Simplify right side
    1,789.17x = 15,516,090.28
  5. Step 5: Solve for x
    x = 15,516,090.28/1,789.17
  6. Step 6: Final answer
    x = 8,672.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.