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Finding the Third Proportional to 3,980.25 and 6,428.25

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Solution

The third proportional to 3,980.25 and 6,428.25 is: 10,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.25 : 6,428.25 = 6,428.25 : x
  2. Step 2: Convert to fraction form
    3,980.25/6,428.25 = 6,428.25/x
  3. Step 3: Cross multiply
    3,980.25x = 6,428.25 × 6,428.25
  4. Step 4: Simplify right side
    3,980.25x = 41,322,398.06
  5. Step 5: Solve for x
    x = 41,322,398.06/3,980.25
  6. Step 6: Final answer
    x = 10,381.86

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.