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Finding the Third Proportional to 7.49 and 16.39

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Solution

The third proportional to 7.49 and 16.39 is: 35.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.49 : 16.39 = 16.39 : x
  2. Step 2: Convert to fraction form
    7.49/16.39 = 16.39/x
  3. Step 3: Cross multiply
    7.49x = 16.39 × 16.39
  4. Step 4: Simplify right side
    7.49x = 268.50
  5. Step 5: Solve for x
    x = 268.50/7.49
  6. Step 6: Final answer
    x = 35.84

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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.