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Finding the Third Proportional to 120.39 and 262.62

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Solution

The third proportional to 120.39 and 262.62 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 262.62 = 262.62 : x
  2. Step 2: Convert to fraction form
    120.39/262.62 = 262.62/x
  3. Step 3: Cross multiply
    120.39x = 262.62 × 262.62
  4. Step 4: Simplify right side
    120.39x = 68,967.79
  5. Step 5: Solve for x
    x = 68,967.79/120.39
  6. Step 6: Final answer
    x = 572.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.