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Finding the Third Proportional to 1.15 and 1.68

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Solution

The third proportional to 1.15 and 1.68 is: 2.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.15 : 1.68 = 1.68 : x
  2. Step 2: Convert to fraction form
    1.15/1.68 = 1.68/x
  3. Step 3: Cross multiply
    1.15x = 1.68 × 1.68
  4. Step 4: Simplify right side
    1.15x = 2.83
  5. Step 5: Solve for x
    x = 2.83/1.15
  6. Step 6: Final answer
    x = 2.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.