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Finding the Third Proportional to 203.13 and 243.63

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Solution

The third proportional to 203.13 and 243.63 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 243.63 = 243.63 : x
  2. Step 2: Convert to fraction form
    203.13/243.63 = 243.63/x
  3. Step 3: Cross multiply
    203.13x = 243.63 × 243.63
  4. Step 4: Simplify right side
    203.13x = 59,356.95
  5. Step 5: Solve for x
    x = 59,356.95/203.13
  6. Step 6: Final answer
    x = 292.21

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.