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Finding the Third Proportional to 45.84 and 71.11

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Solution

The third proportional to 45.84 and 71.11 is: 110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.84 : 71.11 = 71.11 : x
  2. Step 2: Convert to fraction form
    45.84/71.11 = 71.11/x
  3. Step 3: Cross multiply
    45.84x = 71.11 × 71.11
  4. Step 4: Simplify right side
    45.84x = 5,056.54
  5. Step 5: Solve for x
    x = 5,056.54/45.84
  6. Step 6: Final answer
    x = 110.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.