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Finding the Third Proportional to 216.47 and 328.69

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Solution

The third proportional to 216.47 and 328.69 is: 499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.47 : 328.69 = 328.69 : x
  2. Step 2: Convert to fraction form
    216.47/328.69 = 328.69/x
  3. Step 3: Cross multiply
    216.47x = 328.69 × 328.69
  4. Step 4: Simplify right side
    216.47x = 108,035.47
  5. Step 5: Solve for x
    x = 108,035.47/216.47
  6. Step 6: Final answer
    x = 499.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.