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Finding the Third Proportional to 4.91 and 10.45

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Solution

The third proportional to 4.91 and 10.45 is: 22.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.91 : 10.45 = 10.45 : x
  2. Step 2: Convert to fraction form
    4.91/10.45 = 10.45/x
  3. Step 3: Cross multiply
    4.91x = 10.45 × 10.45
  4. Step 4: Simplify right side
    4.91x = 109.28
  5. Step 5: Solve for x
    x = 109.28/4.91
  6. Step 6: Final answer
    x = 22.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.