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Finding the Third Proportional to 564.75 and 821.38

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Solution

The third proportional to 564.75 and 821.38 is: 1,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 821.38 = 821.38 : x
  2. Step 2: Convert to fraction form
    564.75/821.38 = 821.38/x
  3. Step 3: Cross multiply
    564.75x = 821.38 × 821.38
  4. Step 4: Simplify right side
    564.75x = 674,656.89
  5. Step 5: Solve for x
    x = 674,656.89/564.75
  6. Step 6: Final answer
    x = 1,194.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.