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Finding the Third Proportional to 1,003.85 and 2,129.20

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Solution

The third proportional to 1,003.85 and 2,129.20 is: 4,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.85 : 2,129.20 = 2,129.20 : x
  2. Step 2: Convert to fraction form
    1,003.85/2,129.20 = 2,129.20/x
  3. Step 3: Cross multiply
    1,003.85x = 2,129.20 × 2,129.20
  4. Step 4: Simplify right side
    1,003.85x = 4,533,505.95
  5. Step 5: Solve for x
    x = 4,533,505.95/1,003.85
  6. Step 6: Final answer
    x = 4,516.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.