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Finding the Third Proportional to 4.91 and 10.30

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Solution

The third proportional to 4.91 and 10.30 is: 21.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.91 : 10.30 = 10.30 : x
  2. Step 2: Convert to fraction form
    4.91/10.30 = 10.30/x
  3. Step 3: Cross multiply
    4.91x = 10.30 × 10.30
  4. Step 4: Simplify right side
    4.91x = 106.19
  5. Step 5: Solve for x
    x = 106.19/4.91
  6. Step 6: Final answer
    x = 21.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.