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Finding the Third Proportional to 4.91 and 7.19

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Solution

The third proportional to 4.91 and 7.19 is: 10.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.91 : 7.19 = 7.19 : x
  2. Step 2: Convert to fraction form
    4.91/7.19 = 7.19/x
  3. Step 3: Cross multiply
    4.91x = 7.19 × 7.19
  4. Step 4: Simplify right side
    4.91x = 51.65
  5. Step 5: Solve for x
    x = 51.65/4.91
  6. Step 6: Final answer
    x = 10.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.