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Finding the Third Proportional to 204.13 and 442.38

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Solution

The third proportional to 204.13 and 442.38 is: 958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.13 : 442.38 = 442.38 : x
  2. Step 2: Convert to fraction form
    204.13/442.38 = 442.38/x
  3. Step 3: Cross multiply
    204.13x = 442.38 × 442.38
  4. Step 4: Simplify right side
    204.13x = 195,695.64
  5. Step 5: Solve for x
    x = 195,695.64/204.13
  6. Step 6: Final answer
    x = 958.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.