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Finding the Third Proportional to 46 and 114.75

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Solution

The third proportional to 46 and 114.75 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 114.75 = 114.75 : x
  2. Step 2: Convert to fraction form
    46/114.75 = 114.75/x
  3. Step 3: Cross multiply
    46x = 114.75 × 114.75
  4. Step 4: Simplify right side
    46x = 13,167.56
  5. Step 5: Solve for x
    x = 13,167.56/46
  6. Step 6: Final answer
    x = 286.25

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.