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Finding the Third Proportional to 3,405.80 and 5,780.74

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Solution

The third proportional to 3,405.80 and 5,780.74 is: 9,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.80 : 5,780.74 = 5,780.74 : x
  2. Step 2: Convert to fraction form
    3,405.80/5,780.74 = 5,780.74/x
  3. Step 3: Cross multiply
    3,405.80x = 5,780.74 × 5,780.74
  4. Step 4: Simplify right side
    3,405.80x = 33,416,980.24
  5. Step 5: Solve for x
    x = 33,416,980.24/3,405.80
  6. Step 6: Final answer
    x = 9,811.79

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.