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Finding the Third Proportional to 451.83 and 641.67

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Solution

The third proportional to 451.83 and 641.67 is: 911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 641.67 = 641.67 : x
  2. Step 2: Convert to fraction form
    451.83/641.67 = 641.67/x
  3. Step 3: Cross multiply
    451.83x = 641.67 × 641.67
  4. Step 4: Simplify right side
    451.83x = 411,742.80
  5. Step 5: Solve for x
    x = 411,742.80/451.83
  6. Step 6: Final answer
    x = 911.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.