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Finding the Third Proportional to 559.55 and 1,231.17

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Solution

The third proportional to 559.55 and 1,231.17 is: 2,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.55 : 1,231.17 = 1,231.17 : x
  2. Step 2: Convert to fraction form
    559.55/1,231.17 = 1,231.17/x
  3. Step 3: Cross multiply
    559.55x = 1,231.17 × 1,231.17
  4. Step 4: Simplify right side
    559.55x = 1,515,784.19
  5. Step 5: Solve for x
    x = 1,515,784.19/559.55
  6. Step 6: Final answer
    x = 2,708.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.