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Finding the Third Proportional to 208.20 and 322.42

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Solution

The third proportional to 208.20 and 322.42 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 322.42 = 322.42 : x
  2. Step 2: Convert to fraction form
    208.20/322.42 = 322.42/x
  3. Step 3: Cross multiply
    208.20x = 322.42 × 322.42
  4. Step 4: Simplify right side
    208.20x = 103,953.35
  5. Step 5: Solve for x
    x = 103,953.35/208.20
  6. Step 6: Final answer
    x = 499.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.