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Finding the Third Proportional to 283.08 and 611.72

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Solution

The third proportional to 283.08 and 611.72 is: 1,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.08 : 611.72 = 611.72 : x
  2. Step 2: Convert to fraction form
    283.08/611.72 = 611.72/x
  3. Step 3: Cross multiply
    283.08x = 611.72 × 611.72
  4. Step 4: Simplify right side
    283.08x = 374,199.83
  5. Step 5: Solve for x
    x = 374,199.83/283.08
  6. Step 6: Final answer
    x = 1,321.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.