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Finding the Third Proportional to 255.81 and 556.24

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Solution

The third proportional to 255.81 and 556.24 is: 1,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.81 : 556.24 = 556.24 : x
  2. Step 2: Convert to fraction form
    255.81/556.24 = 556.24/x
  3. Step 3: Cross multiply
    255.81x = 556.24 × 556.24
  4. Step 4: Simplify right side
    255.81x = 309,405.37
  5. Step 5: Solve for x
    x = 309,405.37/255.81
  6. Step 6: Final answer
    x = 1,209.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.