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Finding the Third Proportional to 1,583.30 and 3,405.80

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Solution

The third proportional to 1,583.30 and 3,405.80 is: 7,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.30 : 3,405.80 = 3,405.80 : x
  2. Step 2: Convert to fraction form
    1,583.30/3,405.80 = 3,405.80/x
  3. Step 3: Cross multiply
    1,583.30x = 3,405.80 × 3,405.80
  4. Step 4: Simplify right side
    1,583.30x = 11,599,452.35
  5. Step 5: Solve for x
    x = 11,599,452.35/1,583.30
  6. Step 6: Final answer
    x = 7,326.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.