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Finding the Third Proportional to 564.19 and 845.44

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Solution

The third proportional to 564.19 and 845.44 is: 1,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 845.44 = 845.44 : x
  2. Step 2: Convert to fraction form
    564.19/845.44 = 845.44/x
  3. Step 3: Cross multiply
    564.19x = 845.44 × 845.44
  4. Step 4: Simplify right side
    564.19x = 714,764.57
  5. Step 5: Solve for x
    x = 714,764.57/564.19
  6. Step 6: Final answer
    x = 1,266.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.