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Finding the Third Proportional to 611.86 and 1,290.66

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Solution

The third proportional to 611.86 and 1,290.66 is: 2,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.86 : 1,290.66 = 1,290.66 : x
  2. Step 2: Convert to fraction form
    611.86/1,290.66 = 1,290.66/x
  3. Step 3: Cross multiply
    611.86x = 1,290.66 × 1,290.66
  4. Step 4: Simplify right side
    611.86x = 1,665,793.56
  5. Step 5: Solve for x
    x = 1,665,793.56/611.86
  6. Step 6: Final answer
    x = 2,722.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.