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Finding the Third Proportional to 3,409.59 and 5,205.52

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Solution

The third proportional to 3,409.59 and 5,205.52 is: 7,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.59 : 5,205.52 = 5,205.52 : x
  2. Step 2: Convert to fraction form
    3,409.59/5,205.52 = 5,205.52/x
  3. Step 3: Cross multiply
    3,409.59x = 5,205.52 × 5,205.52
  4. Step 4: Simplify right side
    3,409.59x = 27,097,392.92
  5. Step 5: Solve for x
    x = 27,097,392.92/3,409.59
  6. Step 6: Final answer
    x = 7,947.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.