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Finding the Third Proportional to 453.80 and 678.94

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Solution

The third proportional to 453.80 and 678.94 is: 1,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 678.94 = 678.94 : x
  2. Step 2: Convert to fraction form
    453.80/678.94 = 678.94/x
  3. Step 3: Cross multiply
    453.80x = 678.94 × 678.94
  4. Step 4: Simplify right side
    453.80x = 460,956.13
  5. Step 5: Solve for x
    x = 460,956.13/453.80
  6. Step 6: Final answer
    x = 1,015.78

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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.