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Finding the Third Proportional to 216.84 and 349.52

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Solution

The third proportional to 216.84 and 349.52 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 349.52 = 349.52 : x
  2. Step 2: Convert to fraction form
    216.84/349.52 = 349.52/x
  3. Step 3: Cross multiply
    216.84x = 349.52 × 349.52
  4. Step 4: Simplify right side
    216.84x = 122,166.63
  5. Step 5: Solve for x
    x = 122,166.63/216.84
  6. Step 6: Final answer
    x = 563.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.