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Finding the Third Proportional to 7.54 and 16.51

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Solution

The third proportional to 7.54 and 16.51 is: 36.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.54 : 16.51 = 16.51 : x
  2. Step 2: Convert to fraction form
    7.54/16.51 = 16.51/x
  3. Step 3: Cross multiply
    7.54x = 16.51 × 16.51
  4. Step 4: Simplify right side
    7.54x = 272.44
  5. Step 5: Solve for x
    x = 272.44/7.54
  6. Step 6: Final answer
    x = 36.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.