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Finding the Third Proportional to 255.12 and 558.86

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Solution

The third proportional to 255.12 and 558.86 is: 1,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 558.86 = 558.86 : x
  2. Step 2: Convert to fraction form
    255.12/558.86 = 558.86/x
  3. Step 3: Cross multiply
    255.12x = 558.86 × 558.86
  4. Step 4: Simplify right side
    255.12x = 312,328.59
  5. Step 5: Solve for x
    x = 312,328.59/255.12
  6. Step 6: Final answer
    x = 1,224.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.