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Finding the Third Proportional to 117.44 and 243.13

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Solution

The third proportional to 117.44 and 243.13 is: 503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.44 : 243.13 = 243.13 : x
  2. Step 2: Convert to fraction form
    117.44/243.13 = 243.13/x
  3. Step 3: Cross multiply
    117.44x = 243.13 × 243.13
  4. Step 4: Simplify right side
    117.44x = 59,109.77
  5. Step 5: Solve for x
    x = 59,109.77/117.44
  6. Step 6: Final answer
    x = 503.33

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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.