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Finding the Third Proportional to 216.56 and 524.91

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Solution

The third proportional to 216.56 and 524.91 is: 1,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 524.91 = 524.91 : x
  2. Step 2: Convert to fraction form
    216.56/524.91 = 524.91/x
  3. Step 3: Cross multiply
    216.56x = 524.91 × 524.91
  4. Step 4: Simplify right side
    216.56x = 275,526.57
  5. Step 5: Solve for x
    x = 275,526.57/216.56
  6. Step 6: Final answer
    x = 1,272.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.