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Finding the Third Proportional to 587.06 and 820.75

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Solution

The third proportional to 587.06 and 820.75 is: 1,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.06 : 820.75 = 820.75 : x
  2. Step 2: Convert to fraction form
    587.06/820.75 = 820.75/x
  3. Step 3: Cross multiply
    587.06x = 820.75 × 820.75
  4. Step 4: Simplify right side
    587.06x = 673,630.56
  5. Step 5: Solve for x
    x = 673,630.56/587.06
  6. Step 6: Final answer
    x = 1,147.46

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.