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Finding the Third Proportional to 2.68 and 4.35

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Solution

The third proportional to 2.68 and 4.35 is: 7.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.68 : 4.35 = 4.35 : x
  2. Step 2: Convert to fraction form
    2.68/4.35 = 4.35/x
  3. Step 3: Cross multiply
    2.68x = 4.35 × 4.35
  4. Step 4: Simplify right side
    2.68x = 18.94
  5. Step 5: Solve for x
    x = 18.94/2.68
  6. Step 6: Final answer
    x = 7.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.