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Finding the Third Proportional to 450.50 and 611.75

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Solution

The third proportional to 450.50 and 611.75 is: 830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.50 : 611.75 = 611.75 : x
  2. Step 2: Convert to fraction form
    450.50/611.75 = 611.75/x
  3. Step 3: Cross multiply
    450.50x = 611.75 × 611.75
  4. Step 4: Simplify right side
    450.50x = 374,238.06
  5. Step 5: Solve for x
    x = 374,238.06/450.50
  6. Step 6: Final answer
    x = 830.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.