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Finding the Third Proportional to 120.74 and 285.62

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Solution

The third proportional to 120.74 and 285.62 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.74 : 285.62 = 285.62 : x
  2. Step 2: Convert to fraction form
    120.74/285.62 = 285.62/x
  3. Step 3: Cross multiply
    120.74x = 285.62 × 285.62
  4. Step 4: Simplify right side
    120.74x = 81,580.01
  5. Step 5: Solve for x
    x = 81,580.01/120.74
  6. Step 6: Final answer
    x = 675.69

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.