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Finding the Third Proportional to 3,046.13 and 3,678.38

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Solution

The third proportional to 3,046.13 and 3,678.38 is: 4,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.13 : 3,678.38 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    3,046.13/3,678.38 = 3,678.38/x
  3. Step 3: Cross multiply
    3,046.13x = 3,678.38 × 3,678.38
  4. Step 4: Simplify right side
    3,046.13x = 13,530,442.64
  5. Step 5: Solve for x
    x = 13,530,442.64/3,046.13
  6. Step 6: Final answer
    x = 4,441.85

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.