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Finding the Third Proportional to 3,046.78 and 6,651.70

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Solution

The third proportional to 3,046.78 and 6,651.70 is: 14,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.78 : 6,651.70 = 6,651.70 : x
  2. Step 2: Convert to fraction form
    3,046.78/6,651.70 = 6,651.70/x
  3. Step 3: Cross multiply
    3,046.78x = 6,651.70 × 6,651.70
  4. Step 4: Simplify right side
    3,046.78x = 44,245,154.46
  5. Step 5: Solve for x
    x = 44,245,154.46/3,046.78
  6. Step 6: Final answer
    x = 14,521.93

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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.