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Finding the Third Proportional to 2,140.80 and 3,203.30

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Solution

The third proportional to 2,140.80 and 3,203.30 is: 4,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 3,203.30 = 3,203.30 : x
  2. Step 2: Convert to fraction form
    2,140.80/3,203.30 = 3,203.30/x
  3. Step 3: Cross multiply
    2,140.80x = 3,203.30 × 3,203.30
  4. Step 4: Simplify right side
    2,140.80x = 10,261,110.87
  5. Step 5: Solve for x
    x = 10,261,110.87/2,140.80
  6. Step 6: Final answer
    x = 4,793.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.