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Finding the Third Proportional to 4.68 and 10.39

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Solution

The third proportional to 4.68 and 10.39 is: 23.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.68 : 10.39 = 10.39 : x
  2. Step 2: Convert to fraction form
    4.68/10.39 = 10.39/x
  3. Step 3: Cross multiply
    4.68x = 10.39 × 10.39
  4. Step 4: Simplify right side
    4.68x = 107.99
  5. Step 5: Solve for x
    x = 107.99/4.68
  6. Step 6: Final answer
    x = 23.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.