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Finding the Third Proportional to 564.15 and 666.67

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Solution

The third proportional to 564.15 and 666.67 is: 787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.15 : 666.67 = 666.67 : x
  2. Step 2: Convert to fraction form
    564.15/666.67 = 666.67/x
  3. Step 3: Cross multiply
    564.15x = 666.67 × 666.67
  4. Step 4: Simplify right side
    564.15x = 444,446.18
  5. Step 5: Solve for x
    x = 444,446.18/564.15
  6. Step 6: Final answer
    x = 787.81

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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.