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Finding the Third Proportional to 165.80 and 254.39

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Solution

The third proportional to 165.80 and 254.39 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 254.39 = 254.39 : x
  2. Step 2: Convert to fraction form
    165.80/254.39 = 254.39/x
  3. Step 3: Cross multiply
    165.80x = 254.39 × 254.39
  4. Step 4: Simplify right side
    165.80x = 64,714.59
  5. Step 5: Solve for x
    x = 64,714.59/165.80
  6. Step 6: Final answer
    x = 390.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.