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Finding the Third Proportional to 165.80 and 262.62

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Solution

The third proportional to 165.80 and 262.62 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 262.62 = 262.62 : x
  2. Step 2: Convert to fraction form
    165.80/262.62 = 262.62/x
  3. Step 3: Cross multiply
    165.80x = 262.62 × 262.62
  4. Step 4: Simplify right side
    165.80x = 68,967.79
  5. Step 5: Solve for x
    x = 68,967.79/165.80
  6. Step 6: Final answer
    x = 415.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.