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Finding the Third Proportional to 0.60 and 0.69

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Solution

The third proportional to 0.60 and 0.69 is: 0.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.60 : 0.69 = 0.69 : x
  2. Step 2: Convert to fraction form
    0.60/0.69 = 0.69/x
  3. Step 3: Cross multiply
    0.60x = 0.69 × 0.69
  4. Step 4: Simplify right side
    0.60x = 0.48
  5. Step 5: Solve for x
    x = 0.48/0.60
  6. Step 6: Final answer
    x = 0.79

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.