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Finding the Third Proportional to 134.86 and 203.48

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Solution

The third proportional to 134.86 and 203.48 is: 307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.86 : 203.48 = 203.48 : x
  2. Step 2: Convert to fraction form
    134.86/203.48 = 203.48/x
  3. Step 3: Cross multiply
    134.86x = 203.48 × 203.48
  4. Step 4: Simplify right side
    134.86x = 41,405.89
  5. Step 5: Solve for x
    x = 41,405.89/134.86
  6. Step 6: Final answer
    x = 307.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.