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Finding the Third Proportional to 527.75 and 828.25

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Solution

The third proportional to 527.75 and 828.25 is: 1,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 828.25 = 828.25 : x
  2. Step 2: Convert to fraction form
    527.75/828.25 = 828.25/x
  3. Step 3: Cross multiply
    527.75x = 828.25 × 828.25
  4. Step 4: Simplify right side
    527.75x = 685,998.06
  5. Step 5: Solve for x
    x = 685,998.06/527.75
  6. Step 6: Final answer
    x = 1,299.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.