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Finding the Third Proportional to 386.91 and 564.56

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Solution

The third proportional to 386.91 and 564.56 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.91 : 564.56 = 564.56 : x
  2. Step 2: Convert to fraction form
    386.91/564.56 = 564.56/x
  3. Step 3: Cross multiply
    386.91x = 564.56 × 564.56
  4. Step 4: Simplify right side
    386.91x = 318,730.82
  5. Step 5: Solve for x
    x = 318,730.82/386.91
  6. Step 6: Final answer
    x = 823.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.