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Finding the Third Proportional to 1,034.02 and 1,550.39

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Solution

The third proportional to 1,034.02 and 1,550.39 is: 2,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.02 : 1,550.39 = 1,550.39 : x
  2. Step 2: Convert to fraction form
    1,034.02/1,550.39 = 1,550.39/x
  3. Step 3: Cross multiply
    1,034.02x = 1,550.39 × 1,550.39
  4. Step 4: Simplify right side
    1,034.02x = 2,403,711.09
  5. Step 5: Solve for x
    x = 2,403,711.09/1,034.02
  6. Step 6: Final answer
    x = 2,324.64

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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.