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Finding the Third Proportional to 6.19 and 16.69

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Solution

The third proportional to 6.19 and 16.69 is: 45.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.19 : 16.69 = 16.69 : x
  2. Step 2: Convert to fraction form
    6.19/16.69 = 16.69/x
  3. Step 3: Cross multiply
    6.19x = 16.69 × 16.69
  4. Step 4: Simplify right side
    6.19x = 278.47
  5. Step 5: Solve for x
    x = 278.47/6.19
  6. Step 6: Final answer
    x = 45.01

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.