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Finding the Third Proportional to 3,146.06 and 6,428.81

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Solution

The third proportional to 3,146.06 and 6,428.81 is: 13,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.06 : 6,428.81 = 6,428.81 : x
  2. Step 2: Convert to fraction form
    3,146.06/6,428.81 = 6,428.81/x
  3. Step 3: Cross multiply
    3,146.06x = 6,428.81 × 6,428.81
  4. Step 4: Simplify right side
    3,146.06x = 41,329,630.16
  5. Step 5: Solve for x
    x = 41,329,630.16/3,146.06
  6. Step 6: Final answer
    x = 13,136.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.