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Finding the Third Proportional to 527.91 and 827.58

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Solution

The third proportional to 527.91 and 827.58 is: 1,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.91 : 827.58 = 827.58 : x
  2. Step 2: Convert to fraction form
    527.91/827.58 = 827.58/x
  3. Step 3: Cross multiply
    527.91x = 827.58 × 827.58
  4. Step 4: Simplify right side
    527.91x = 684,885.55
  5. Step 5: Solve for x
    x = 684,885.55/527.91
  6. Step 6: Final answer
    x = 1,297.36

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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.