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Finding the Third Proportional to 1,882.83 and 4,135.03

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Solution

The third proportional to 1,882.83 and 4,135.03 is: 9,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.83 : 4,135.03 = 4,135.03 : x
  2. Step 2: Convert to fraction form
    1,882.83/4,135.03 = 4,135.03/x
  3. Step 3: Cross multiply
    1,882.83x = 4,135.03 × 4,135.03
  4. Step 4: Simplify right side
    1,882.83x = 17,098,483.44
  5. Step 5: Solve for x
    x = 17,098,483.44/1,882.83
  6. Step 6: Final answer
    x = 9,081.28

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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.