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Finding the Third Proportional to 255.19 and 553.59

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Solution

The third proportional to 255.19 and 553.59 is: 1,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.19 : 553.59 = 553.59 : x
  2. Step 2: Convert to fraction form
    255.19/553.59 = 553.59/x
  3. Step 3: Cross multiply
    255.19x = 553.59 × 553.59
  4. Step 4: Simplify right side
    255.19x = 306,466.04
  5. Step 5: Solve for x
    x = 306,466.04/255.19
  6. Step 6: Final answer
    x = 1,200.94

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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.