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Finding the Third Proportional to 453.66 and 681.05

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Solution

The third proportional to 453.66 and 681.05 is: 1,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.66 : 681.05 = 681.05 : x
  2. Step 2: Convert to fraction form
    453.66/681.05 = 681.05/x
  3. Step 3: Cross multiply
    453.66x = 681.05 × 681.05
  4. Step 4: Simplify right side
    453.66x = 463,824.85
  5. Step 5: Solve for x
    x = 463,824.85/453.66
  6. Step 6: Final answer
    x = 1,022.41

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