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Finding the Third Proportional to 3,640.80 and 7,963.02

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Solution

The third proportional to 3,640.80 and 7,963.02 is: 17,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.80 : 7,963.02 = 7,963.02 : x
  2. Step 2: Convert to fraction form
    3,640.80/7,963.02 = 7,963.02/x
  3. Step 3: Cross multiply
    3,640.80x = 7,963.02 × 7,963.02
  4. Step 4: Simplify right side
    3,640.80x = 63,409,617.84
  5. Step 5: Solve for x
    x = 63,409,617.84/3,640.80
  6. Step 6: Final answer
    x = 17,416.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.