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Finding the Third Proportional to 579.09 and 1,132.17

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Solution

The third proportional to 579.09 and 1,132.17 is: 2,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.09 : 1,132.17 = 1,132.17 : x
  2. Step 2: Convert to fraction form
    579.09/1,132.17 = 1,132.17/x
  3. Step 3: Cross multiply
    579.09x = 1,132.17 × 1,132.17
  4. Step 4: Simplify right side
    579.09x = 1,281,813.15
  5. Step 5: Solve for x
    x = 1,281,813.15/579.09
  6. Step 6: Final answer
    x = 2,213.48

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.