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Finding the Third Proportional to 1,640.25 and 3,979.13

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Solution

The third proportional to 1,640.25 and 3,979.13 is: 9,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.25 : 3,979.13 = 3,979.13 : x
  2. Step 2: Convert to fraction form
    1,640.25/3,979.13 = 3,979.13/x
  3. Step 3: Cross multiply
    1,640.25x = 3,979.13 × 3,979.13
  4. Step 4: Simplify right side
    1,640.25x = 15,833,435.77
  5. Step 5: Solve for x
    x = 15,833,435.77/1,640.25
  6. Step 6: Final answer
    x = 9,653.06

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.