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Finding the Third Proportional to 216.56 and 332.19

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Solution

The third proportional to 216.56 and 332.19 is: 509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 332.19 = 332.19 : x
  2. Step 2: Convert to fraction form
    216.56/332.19 = 332.19/x
  3. Step 3: Cross multiply
    216.56x = 332.19 × 332.19
  4. Step 4: Simplify right side
    216.56x = 110,348.54
  5. Step 5: Solve for x
    x = 110,348.54/216.56
  6. Step 6: Final answer
    x = 509.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.