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Finding the Third Proportional to 564.96 and 666.21

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Solution

The third proportional to 564.96 and 666.21 is: 785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 666.21 = 666.21 : x
  2. Step 2: Convert to fraction form
    564.96/666.21 = 666.21/x
  3. Step 3: Cross multiply
    564.96x = 666.21 × 666.21
  4. Step 4: Simplify right side
    564.96x = 443,837.01
  5. Step 5: Solve for x
    x = 443,837.01/564.96
  6. Step 6: Final answer
    x = 785.61

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.