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Finding the Third Proportional to 0.68 and 1.86

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Solution

The third proportional to 0.68 and 1.86 is: 5.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.68 : 1.86 = 1.86 : x
  2. Step 2: Convert to fraction form
    0.68/1.86 = 1.86/x
  3. Step 3: Cross multiply
    0.68x = 1.86 × 1.86
  4. Step 4: Simplify right side
    0.68x = 3.45
  5. Step 5: Solve for x
    x = 3.45/0.68
  6. Step 6: Final answer
    x = 5.11

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.