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Finding the Third Proportional to 204.19 and 314.86

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Solution

The third proportional to 204.19 and 314.86 is: 485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 314.86 = 314.86 : x
  2. Step 2: Convert to fraction form
    204.19/314.86 = 314.86/x
  3. Step 3: Cross multiply
    204.19x = 314.86 × 314.86
  4. Step 4: Simplify right side
    204.19x = 99,136.43
  5. Step 5: Solve for x
    x = 99,136.43/204.19
  6. Step 6: Final answer
    x = 485.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.