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Finding the Third Proportional to 568.11 and 790.22

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Solution

The third proportional to 568.11 and 790.22 is: 1,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.11 : 790.22 = 790.22 : x
  2. Step 2: Convert to fraction form
    568.11/790.22 = 790.22/x
  3. Step 3: Cross multiply
    568.11x = 790.22 × 790.22
  4. Step 4: Simplify right side
    568.11x = 624,454.93
  5. Step 5: Solve for x
    x = 624,454.93/568.11
  6. Step 6: Final answer
    x = 1,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.