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Finding the Third Proportional to 564.25 and 856.25

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Solution

The third proportional to 564.25 and 856.25 is: 1,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 856.25 = 856.25 : x
  2. Step 2: Convert to fraction form
    564.25/856.25 = 856.25/x
  3. Step 3: Cross multiply
    564.25x = 856.25 × 856.25
  4. Step 4: Simplify right side
    564.25x = 733,164.06
  5. Step 5: Solve for x
    x = 733,164.06/564.25
  6. Step 6: Final answer
    x = 1,299.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.