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Finding the Third Proportional to 45.51 and 102.78

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Solution

The third proportional to 45.51 and 102.78 is: 232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.51 : 102.78 = 102.78 : x
  2. Step 2: Convert to fraction form
    45.51/102.78 = 102.78/x
  3. Step 3: Cross multiply
    45.51x = 102.78 × 102.78
  4. Step 4: Simplify right side
    45.51x = 10,563.58
  5. Step 5: Solve for x
    x = 10,563.58/45.51
  6. Step 6: Final answer
    x = 232.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.