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Finding the Third Proportional to 579.81 and 891.19

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Solution

The third proportional to 579.81 and 891.19 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.81 : 891.19 = 891.19 : x
  2. Step 2: Convert to fraction form
    579.81/891.19 = 891.19/x
  3. Step 3: Cross multiply
    579.81x = 891.19 × 891.19
  4. Step 4: Simplify right side
    579.81x = 794,215.16
  5. Step 5: Solve for x
    x = 794,215.16/579.81
  6. Step 6: Final answer
    x = 1,369.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.