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Finding the Third Proportional to 579.26 and 856.43

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Solution

The third proportional to 579.26 and 856.43 is: 1,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.26 : 856.43 = 856.43 : x
  2. Step 2: Convert to fraction form
    579.26/856.43 = 856.43/x
  3. Step 3: Cross multiply
    579.26x = 856.43 × 856.43
  4. Step 4: Simplify right side
    579.26x = 733,476.83
  5. Step 5: Solve for x
    x = 733,476.83/579.26
  6. Step 6: Final answer
    x = 1,266.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.