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Finding the Third Proportional to 117.88 and 243.81

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Solution

The third proportional to 117.88 and 243.81 is: 504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.88 : 243.81 = 243.81 : x
  2. Step 2: Convert to fraction form
    117.88/243.81 = 243.81/x
  3. Step 3: Cross multiply
    117.88x = 243.81 × 243.81
  4. Step 4: Simplify right side
    117.88x = 59,444.54
  5. Step 5: Solve for x
    x = 59,444.54/117.88
  6. Step 6: Final answer
    x = 504.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.