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Finding the Third Proportional to 579.25 and 1,187

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Solution

The third proportional to 579.25 and 1,187 is: 2,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.25 : 1,187 = 1,187 : x
  2. Step 2: Convert to fraction form
    579.25/1,187 = 1,187/x
  3. Step 3: Cross multiply
    579.25x = 1,187 × 1,187
  4. Step 4: Simplify right side
    579.25x = 1,408,969
  5. Step 5: Solve for x
    x = 1,408,969/579.25
  6. Step 6: Final answer
    x = 2,432.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.