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Finding the Third Proportional to 255.09 and 384.47

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Solution

The third proportional to 255.09 and 384.47 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.09 : 384.47 = 384.47 : x
  2. Step 2: Convert to fraction form
    255.09/384.47 = 384.47/x
  3. Step 3: Cross multiply
    255.09x = 384.47 × 384.47
  4. Step 4: Simplify right side
    255.09x = 147,816.22
  5. Step 5: Solve for x
    x = 147,816.22/255.09
  6. Step 6: Final answer
    x = 579.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.