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Finding the Third Proportional to 1,080.56 and 1,190.81

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Solution

The third proportional to 1,080.56 and 1,190.81 is: 1,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.56 : 1,190.81 = 1,190.81 : x
  2. Step 2: Convert to fraction form
    1,080.56/1,190.81 = 1,190.81/x
  3. Step 3: Cross multiply
    1,080.56x = 1,190.81 × 1,190.81
  4. Step 4: Simplify right side
    1,080.56x = 1,418,034.41
  5. Step 5: Solve for x
    x = 1,418,034.41/1,080.56
  6. Step 6: Final answer
    x = 1,312.31

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.