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Finding the Third Proportional to 216.69 and 332.38

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Solution

The third proportional to 216.69 and 332.38 is: 509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.69 : 332.38 = 332.38 : x
  2. Step 2: Convert to fraction form
    216.69/332.38 = 332.38/x
  3. Step 3: Cross multiply
    216.69x = 332.38 × 332.38
  4. Step 4: Simplify right side
    216.69x = 110,473.14
  5. Step 5: Solve for x
    x = 110,473.14/216.69
  6. Step 6: Final answer
    x = 509.83

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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.