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Finding the Third Proportional to 255.66 and 534.80

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Solution

The third proportional to 255.66 and 534.80 is: 1,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 534.80 = 534.80 : x
  2. Step 2: Convert to fraction form
    255.66/534.80 = 534.80/x
  3. Step 3: Cross multiply
    255.66x = 534.80 × 534.80
  4. Step 4: Simplify right side
    255.66x = 286,007.70
  5. Step 5: Solve for x
    x = 286,007.70/255.66
  6. Step 6: Final answer
    x = 1,118.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.