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Finding the Third Proportional to 579.09 and 1,329.05

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Solution

The third proportional to 579.09 and 1,329.05 is: 3,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.09 : 1,329.05 = 1,329.05 : x
  2. Step 2: Convert to fraction form
    579.09/1,329.05 = 1,329.05/x
  3. Step 3: Cross multiply
    579.09x = 1,329.05 × 1,329.05
  4. Step 4: Simplify right side
    579.09x = 1,766,365.60
  5. Step 5: Solve for x
    x = 1,766,365.60/579.09
  6. Step 6: Final answer
    x = 3,050.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.