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Finding the Third Proportional to 206.38 and 322.19

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Solution

The third proportional to 206.38 and 322.19 is: 502.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 322.19 = 322.19 : x
  2. Step 2: Convert to fraction form
    206.38/322.19 = 322.19/x
  3. Step 3: Cross multiply
    206.38x = 322.19 × 322.19
  4. Step 4: Simplify right side
    206.38x = 103,804.79
  5. Step 5: Solve for x
    x = 103,804.79/206.38
  6. Step 6: Final answer
    x = 502.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.