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Finding the Third Proportional to 1,087.03 and 1,201.78

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Solution

The third proportional to 1,087.03 and 1,201.78 is: 1,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.03 : 1,201.78 = 1,201.78 : x
  2. Step 2: Convert to fraction form
    1,087.03/1,201.78 = 1,201.78/x
  3. Step 3: Cross multiply
    1,087.03x = 1,201.78 × 1,201.78
  4. Step 4: Simplify right side
    1,087.03x = 1,444,278.17
  5. Step 5: Solve for x
    x = 1,444,278.17/1,087.03
  6. Step 6: Final answer
    x = 1,328.64

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.