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Finding the Third Proportional to 165.80 and 347.20

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Solution

The third proportional to 165.80 and 347.20 is: 727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 347.20 = 347.20 : x
  2. Step 2: Convert to fraction form
    165.80/347.20 = 347.20/x
  3. Step 3: Cross multiply
    165.80x = 347.20 × 347.20
  4. Step 4: Simplify right side
    165.80x = 120,550.01
  5. Step 5: Solve for x
    x = 120,550.01/165.80
  6. Step 6: Final answer
    x = 727.09

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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.