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Finding the Third Proportional to 283.92 and 611.51

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Solution

The third proportional to 283.92 and 611.51 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 611.51 = 611.51 : x
  2. Step 2: Convert to fraction form
    283.92/611.51 = 611.51/x
  3. Step 3: Cross multiply
    283.92x = 611.51 × 611.51
  4. Step 4: Simplify right side
    283.92x = 373,941.80
  5. Step 5: Solve for x
    x = 373,941.80/283.92
  6. Step 6: Final answer
    x = 1,317.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.