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Finding the Third Proportional to 452 and 677.88

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Solution

The third proportional to 452 and 677.88 is: 1,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452 : 677.88 = 677.88 : x
  2. Step 2: Convert to fraction form
    452/677.88 = 677.88/x
  3. Step 3: Cross multiply
    452x = 677.88 × 677.88
  4. Step 4: Simplify right side
    452x = 459,514.52
  5. Step 5: Solve for x
    x = 459,514.52/452
  6. Step 6: Final answer
    x = 1,016.63

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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.