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Finding the Third Proportional to 696.19 and 1,640.81

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Solution

The third proportional to 696.19 and 1,640.81 is: 3,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.19 : 1,640.81 = 1,640.81 : x
  2. Step 2: Convert to fraction form
    696.19/1,640.81 = 1,640.81/x
  3. Step 3: Cross multiply
    696.19x = 1,640.81 × 1,640.81
  4. Step 4: Simplify right side
    696.19x = 2,692,265.66
  5. Step 5: Solve for x
    x = 2,692,265.66/696.19
  6. Step 6: Final answer
    x = 3,867.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.