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Finding the Third Proportional to 439.75 and 655.75

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Solution

The third proportional to 439.75 and 655.75 is: 977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.75 : 655.75 = 655.75 : x
  2. Step 2: Convert to fraction form
    439.75/655.75 = 655.75/x
  3. Step 3: Cross multiply
    439.75x = 655.75 × 655.75
  4. Step 4: Simplify right side
    439.75x = 430,008.06
  5. Step 5: Solve for x
    x = 430,008.06/439.75
  6. Step 6: Final answer
    x = 977.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.