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Finding the Third Proportional to 117.70 and 251.54

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Solution

The third proportional to 117.70 and 251.54 is: 537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 251.54 = 251.54 : x
  2. Step 2: Convert to fraction form
    117.70/251.54 = 251.54/x
  3. Step 3: Cross multiply
    117.70x = 251.54 × 251.54
  4. Step 4: Simplify right side
    117.70x = 63,273.87
  5. Step 5: Solve for x
    x = 63,273.87/117.70
  6. Step 6: Final answer
    x = 537.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.