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Finding the Third Proportional to 3,132.84 and 4,409.02

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Solution

The third proportional to 3,132.84 and 4,409.02 is: 6,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 4,409.02 = 4,409.02 : x
  2. Step 2: Convert to fraction form
    3,132.84/4,409.02 = 4,409.02/x
  3. Step 3: Cross multiply
    3,132.84x = 4,409.02 × 4,409.02
  4. Step 4: Simplify right side
    3,132.84x = 19,439,418.78
  5. Step 5: Solve for x
    x = 19,439,418.78/3,132.84
  6. Step 6: Final answer
    x = 6,205.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.