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Finding the Third Proportional to 452.75 and 678.88

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Solution

The third proportional to 452.75 and 678.88 is: 1,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.75 : 678.88 = 678.88 : x
  2. Step 2: Convert to fraction form
    452.75/678.88 = 678.88/x
  3. Step 3: Cross multiply
    452.75x = 678.88 × 678.88
  4. Step 4: Simplify right side
    452.75x = 460,871.27
  5. Step 5: Solve for x
    x = 460,871.27/452.75
  6. Step 6: Final answer
    x = 1,017.94

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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.