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Finding the Third Proportional to 45.75 and 72.94

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Solution

The third proportional to 45.75 and 72.94 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.75 : 72.94 = 72.94 : x
  2. Step 2: Convert to fraction form
    45.75/72.94 = 72.94/x
  3. Step 3: Cross multiply
    45.75x = 72.94 × 72.94
  4. Step 4: Simplify right side
    45.75x = 5,319.88
  5. Step 5: Solve for x
    x = 5,319.88/45.75
  6. Step 6: Final answer
    x = 116.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.