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Finding the Third Proportional to 1,640.39 and 3,554.16

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Solution

The third proportional to 1,640.39 and 3,554.16 is: 7,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.39 : 3,554.16 = 3,554.16 : x
  2. Step 2: Convert to fraction form
    1,640.39/3,554.16 = 3,554.16/x
  3. Step 3: Cross multiply
    1,640.39x = 3,554.16 × 3,554.16
  4. Step 4: Simplify right side
    1,640.39x = 12,632,026.65
  5. Step 5: Solve for x
    x = 12,632,026.65/1,640.39
  6. Step 6: Final answer
    x = 7,700.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.