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Finding the Third Proportional to 450.84 and 628.17

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Solution

The third proportional to 450.84 and 628.17 is: 875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.84 : 628.17 = 628.17 : x
  2. Step 2: Convert to fraction form
    450.84/628.17 = 628.17/x
  3. Step 3: Cross multiply
    450.84x = 628.17 × 628.17
  4. Step 4: Simplify right side
    450.84x = 394,599.90
  5. Step 5: Solve for x
    x = 394,599.90/450.84
  6. Step 6: Final answer
    x = 875.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.